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3378664608 = 2531122391217
BaseRepresentation
bin1100100101100010…
…0101010010100000
322201110112221112020
43021120211102200
523404414231413
61315132301440
7146504114064
oct31130452240
98643487466
103378664608
111484193800
127a3611880
1341ac95937
14240a15aa4
1514b940c23
hexc96254a0

3378664608 has 144 divisors (see below), whose sum is σ = 9797397120. Its totient is φ = 1018716160.

The previous prime is 3378664591. The next prime is 3378664613. The reversal of 3378664608 is 8064668733.

It is a happy number.

It is a super-2 number, since 2×33786646082 = 22830749066703587328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2775616 + ... + 2776832.

It is an arithmetic number, because the mean of its divisors is an integer number (68037480).

Almost surely, 23378664608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378664608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898698560).

3378664608 is an abundant number, since it is smaller than the sum of its proper divisors (6418732512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3378664608 is a wasteful number, since it uses less digits than its factorization.

3378664608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The square root of 3378664608 is about 58126.2815600654. The cubic root of 3378664608 is about 1500.5427085102.

The spelling of 3378664608 in words is "three billion, three hundred seventy-eight million, six hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 239 242 264 352 363 478 484 528 717 726 956 968 1056 1217 1434 1452 1912 1936 2434 2629 2868 2904 3651 3824 3872 4868 5258 5736 5808 7302 7648 7887 9736 10516 11472 11616 13387 14604 15774 19472 21032 22944 26774 28919 29208 31548 38944 40161 42064 53548 57838 58416 63096 80322 84128 86757 107096 115676 116832 126192 147257 160644 173514 214192 231352 252384 290863 294514 321288 347028 428384 441771 462704 581726 589028 642576 694056 872589 883542 925408 1163452 1178056 1285152 1388112 1745178 1767084 2326904 2356112 2776224 3199493 3490356 3534168 4653808 4712224 6398986 6980712 7068336 9307616 9598479 12797972 13961424 14136672 19196958 25595944 27922848 35194423 38393916 51191888 70388846 76787832 102383776 105583269 140777692 153575664 211166538 281555384 307151328 422333076 563110768 844666152 1126221536 1689332304 3378664608