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3423372672 = 27361714449
BaseRepresentation
bin1100110000001100…
…1000010110000000
322211120200100110110
43030003020112000
524002340411142
61323410431320
7150556121226
oct31403102600
98746610413
103423372672
1114a744a615
127b6592540
1342731a405
14246932b16
1515082299c
hexcc0c8580

3423372672 has 64 divisors (see below), whose sum is σ = 9108702000. Its totient is φ = 1139195904.

The previous prime is 3423372611. The next prime is 3423372703. The reversal of 3423372672 is 2762733243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3423372672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229704 + ... + 244152.

Almost surely, 23423372672 is an apocalyptic number.

3423372672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554351000).

3423372672 is an abundant number, since it is smaller than the sum of its proper divisors (5685329328).

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

3423372672 is a wasteful number, since it uses less digits than its factorization.

3423372672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15083 (or 15071 counting only the distinct ones).

The product of its digits is 254016, while the sum is 39.

The square root of 3423372672 is about 58509.5947003566. The cubic root of 3423372672 is about 1507.1323543731.

The spelling of 3423372672 in words is "three billion, four hundred twenty-three million, three hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 617 1234 1851 2468 3702 4936 7404 9872 14449 14808 19744 28898 29616 39488 43347 57796 59232 78976 86694 115592 118464 173388 231184 236928 346776 462368 693552 924736 1387104 1849472 2774208 5548416 8915033 17830066 26745099 35660132 53490198 71320264 106980396 142640528 213960792 285281056 427921584 570562112 855843168 1141124224 1711686336 3423372672