396825039936 has 252 divisors, whose sum is σ = 1301221537252. Its totient is φ = 114917031936.

The previous prime is 396825039929. The next prime is 396825039967. The reversal of 396825039936 is 639930528693.

396825039936 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 2 + 503 + 99 + 36 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 29036160000 + 367788879936 = 170400^2 + 606456^2 .

It is a super-2 number, since 2×396825039936² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2072346 + ... + 2255718.

Almost surely, 2^396825039936 is an apocalyptic number.

396825039936 is a gapful number since it is divisible by the number (36) 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 396825039936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650610768626).

396825039936 is an abundant number, since it is smaller than the sum of its proper divisors (904396497316).

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

396825039936 is a wasteful number, since it uses less digits than its factorization.

396825039936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183438 (or 183408 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 396825039936 in words is "three hundred ninety-six billion, eight hundred twenty-five million, thirty-nine thousand, nine hundred thirty-six".