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3744485616 = 2435310131453
BaseRepresentation
bin1101111100110000…
…0101000011110000
3100122221220120121110
43133030011003300
530132042014431
61415321153320
7161535413454
oct33714050360
910587816543
103744485616
111651734513
1288602b840
134789cb081
14277440664
1516db02346
hexdf3050f0

3744485616 has 80 divisors (see below), whose sum is σ = 9872287776. Its totient is φ = 1222560768.

The previous prime is 3744485609. The next prime is 3744485621. The reversal of 3744485616 is 6165844473.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2576346 + ... + 2577798.

Almost surely, 23744485616 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 3744485616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936143888).

3744485616 is an abundant number, since it is smaller than the sum of its proper divisors (6127802160).

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

3744485616 is a wasteful number, since it uses less digits than its factorization.

3744485616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2524 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 3744485616 is about 61192.2022483257. The cubic root of 3744485616 is about 1552.8543472505.

The spelling of 3744485616 in words is "three billion, seven hundred forty-four million, four hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1013 1272 1453 2026 2544 2906 3039 4052 4359 5812 6078 8104 8718 11624 12156 16208 17436 23248 24312 34872 48624 53689 69744 77009 107378 154018 161067 214756 231027 308036 322134 429512 462054 616072 644268 859024 924108 1232144 1288536 1471889 1848216 2577072 2943778 3696432 4415667 5887556 8831334 11775112 17662668 23550224 35325336 70650672 78010117 156020234 234030351 312040468 468060702 624080936 936121404 1248161872 1872242808 3744485616