396039563136 has 384 divisors, whose sum is σ = 1378894752000. Its totient is φ = 111557053440.

The previous prime is 396039563131. The next prime is 396039563137. The reversal of 396039563136 is 631365930693.

396039563136 is a `hidden beast` number, since 3 + 9 + 60 + 3 + 9 + 563 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396039563131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12006955 + ... + 12039893.

It is an arithmetic number, because the mean of its divisors is an integer number (3590871750).

Almost surely, 2^396039563136 is an apocalyptic number.

396039563136 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 396039563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689447376000).

396039563136 is an abundant number, since it is smaller than the sum of its proper divisors (982855188864).

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

396039563136 is a wasteful number, since it uses less digits than its factorization.

396039563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33047 (or 33022 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 54.

The spelling of 396039563136 in words is "three hundred ninety-six billion, thirty-nine million, five hundred sixty-three thousand, one hundred thirty-six".