396725443833600 has 3024 divisors, whose sum is σ = 1787807458624320. Its totient is φ = 85179373977600.

The previous prime is 396725443833539. The next prime is 396725443833617. The reversal of 396725443833600 is 6338344527693.

396725443833600 is a `hidden beast` number, since 3 + 9 + 6 + 7 + 2 + 544 + 3 + 83 + 3 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 35043315940 + ... + 35043327260.

It is an arithmetic number, because the mean of its divisors is an integer number (591206170180).

Almost surely, 2^{396725443833600} is an apocalyptic number.

396725443833600 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 396725443833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893903729312160).

396725443833600 is an abundant number, since it is smaller than the sum of its proper divisors (1391082014790720).

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

396725443833600 is a wasteful number, since it uses less digits than its factorization.

396725443833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11438 (or 11404 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 63.

The spelling of 396725443833600 in words is "three hundred ninety-six trillion, seven hundred twenty-five billion, four hundred forty-three million, eight hundred thirty-three thousand, six hundred".