3807372996000 has 2304 divisors, whose sum is σ = 16659771448320. Its totient is φ = 805109760000.

The previous prime is 3807372995977. The next prime is 3807372996001. The reversal of 3807372996000 is 6992737083.

3807372996000 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 3 + 7 + 29 + 9 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3807372996001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29063915935 + ... + 29063916065.

It is an arithmetic number, because the mean of its divisors is an integer number (7230803580).

Almost surely, 2^{3807372996000} is an apocalyptic number.

3807372996000 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 3807372996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329885724160).

3807372996000 is an abundant number, since it is smaller than the sum of its proper divisors (12852398452320).

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

3807372996000 is a wasteful number, since it uses less digits than its factorization.

3807372996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3807372996000 in words is "three trillion, eight hundred seven billion, three hundred seventy-two million, nine hundred ninety-six thousand".