396094009600 has 81 divisors (see below), whose sum is σ = 980519200437. Its totient is φ = 158417464320.

The previous prime is 396094009579. The next prime is 396094009607. The reversal of 396094009600 is 6900490693.

The square root of 396094009600 is 629360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 142593843456 + 253500166144 = 377616^2 + 503488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (396094009607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50344867 + ... + 50352733.

Almost surely, 2^396094009600 is an apocalyptic number.

396094009600 is the 629360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396094009600

396094009600 is an abundant number, since it is smaller than the sum of its proper divisors (584425190837).

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

396094009600 is an frugal number, since it uses more digits than its factorization.

396094009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15760 (or 7874 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 46.

The spelling of 396094009600 in words is "three hundred ninety-six billion, ninety-four million, nine thousand, six hundred".