396387129600 has 1728 divisors, whose sum is σ = 1872573480960. Its totient is φ = 79709184000.

The previous prime is 396387129599. The next prime is 396387129601. The reversal of 396387129600 is 6921783693.

396387129600 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 8 + 7 + 1 + 29 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (396387129599) and next prime (396387129601).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (396387129601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12786681585 + ... + 12786681615.

Almost surely, 2^396387129600 is an apocalyptic number.

396387129600 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 396387129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936286740480).

396387129600 is an abundant number, since it is smaller than the sum of its proper divisors (1476186351360).

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

396387129600 is an equidigital number, since it uses as much as digits as its factorization.

396387129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 396387129600 in words is "three hundred ninety-six billion, three hundred eighty-seven million, one hundred twenty-nine thousand, six hundred".