396339609600 has 1152 divisors, whose sum is σ = 1615061316960. Its totient is φ = 95551488000.

The previous prime is 396339609527. The next prime is 396339609647. The reversal of 396339609600 is 6906933693.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×396339609600² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2189721510 + ... + 2189721690.

Almost surely, 2^396339609600 is an apocalyptic number.

396339609600 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 396339609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807530658480).

396339609600 is an abundant number, since it is smaller than the sum of its proper divisors (1218721707360).

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

396339609600 is an equidigital number, since it uses as much as digits as its factorization.

396339609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The spelling of 396339609600 in words is "three hundred ninety-six billion, three hundred thirty-nine million, six hundred nine thousand, six hundred".