393936208704 has 280 divisors, whose sum is σ = 1232246537280. Its totient is φ = 124188235776.

The previous prime is 393936208693. The next prime is 393936208751. The reversal of 393936208704 is 407802639393.

393936208704 is a `hidden beast` number, since 3 + 9 + 3 + 9 + 3 + 620 + 8 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10593087 + ... + 10630209.

Almost surely, 2^393936208704 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 393936208704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616123268640).

393936208704 is an abundant number, since it is smaller than the sum of its proper divisors (838310328576).

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

393936208704 is a wasteful number, since it uses less digits than its factorization.

393936208704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37259 (or 37240 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 393936208704 in words is "three hundred ninety-three billion, nine hundred thirty-six million, two hundred eight thousand, seven hundred four".