3795436656 has 320 divisors, whose sum is σ = 12646809600. Its totient is φ = 1077753600.

The previous prime is 3795436639. The next prime is 3795436663. The reversal of 3795436656 is 6566345973.

3795436656 is a `hidden beast` number, since 37 + 9 + 543 + 6 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11466411 + ... + 11466741.

It is an arithmetic number, because the mean of its divisors is an integer number (39521280).

Almost surely, 2^3795436656 is an apocalyptic number.

3795436656 is a gapful number since it is divisible by the number (36) 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 3795436656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323404800).

3795436656 is an abundant number, since it is smaller than the sum of its proper divisors (8851372944).

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

3795436656 is a wasteful number, since it uses less digits than its factorization.

3795436656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The square root of 3795436656 is about 61607.1153033479. The cubic root of 3795436656 is about 1559.8658464518.

The spelling of 3795436656 in words is "three billion, seven hundred ninety-five million, four hundred thirty-six thousand, six hundred fifty-six".