393897292704 has 288 divisors, whose sum is σ = 1188458054784. Its totient is φ = 123500298240.

The previous prime is 393897292697. The next prime is 393897292741. The reversal of 393897292704 is 407292798393.

393897292704 is a `hidden beast` number, since 39 + 389 + 72 + 92 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104730184 + ... + 104733944.

It is an arithmetic number, because the mean of its divisors is an integer number (4126590468).

Almost surely, 2^393897292704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393897292704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594229027392).

393897292704 is an abundant number, since it is smaller than the sum of its proper divisors (794560762080).

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

393897292704 is a wasteful number, since it uses less digits than its factorization.

393897292704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 393897292704 in words is "three hundred ninety-three billion, eight hundred ninety-seven million, two hundred ninety-two thousand, seven hundred four".