3996077796360 has 192 divisors, whose sum is σ = 13992084288000. Its totient is φ = 983241165312.

The previous prime is 3996077796313. The next prime is 3996077796391. The reversal of 3996077796360 is 636977706993.

3996077796360 is a `hidden beast` number, since 3 + 9 + 9 + 607 + 7 + 7 + 9 + 6 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×3996077796360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11163441 + ... + 11515839.

It is an arithmetic number, because the mean of its divisors is an integer number (72875439000).

Almost surely, 2^{3996077796360} is an apocalyptic number.

3996077796360 is a gapful number since it is divisible by the number (30) 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 3996077796360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996042144000).

3996077796360 is an abundant number, since it is smaller than the sum of its proper divisors (9996006491640).

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

3996077796360 is a wasteful number, since it uses less digits than its factorization.

3996077796360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354852 (or 354845 counting only the distinct ones).

The product of its (nonzero) digits is 486091368, while the sum is 72.

The spelling of 3996077796360 in words is "three trillion, nine hundred ninety-six billion, seventy-seven million, seven hundred ninety-six thousand, three hundred sixty".