396083625600 has 768 divisors, whose sum is σ = 1552468135680. Its totient is φ = 87761879040.

The previous prime is 396083625599. The next prime is 396083625607. The reversal of 396083625600 is 6526380693.

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

It is a self number, because there is not a number n which added to its sum of digits gives 396083625600.

It is not an unprimeable number, because it can be changed into a prime (396083625607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48792742 + ... + 48800858.

It is an arithmetic number, because the mean of its divisors is an integer number (2021442885).

Almost surely, 2^396083625600 is an apocalyptic number.

396083625600 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 396083625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776234067840).

396083625600 is an abundant number, since it is smaller than the sum of its proper divisors (1156384510080).

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

396083625600 is a wasteful number, since it uses less digits than its factorization.

396083625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 396083625600 in words is "three hundred ninety-six billion, eighty-three million, six hundred twenty-five thousand, six hundred".