393838716432 has 320 divisors, whose sum is σ = 1218482012160. Its totient is φ = 107288064000.

The previous prime is 393838716407. The next prime is 393838716433. The reversal of 393838716432 is 234617838393.

It is not an unprimeable number, because it can be changed into a prime (393838716433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109916913 + ... + 109920495.

It is an arithmetic number, because the mean of its divisors is an integer number (3807756288).

Almost surely, 2^393838716432 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 393838716432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609241006080).

393838716432 is an abundant number, since it is smaller than the sum of its proper divisors (824643295728).

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

393838716432 is a wasteful number, since it uses less digits than its factorization.

393838716432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3816 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The spelling of 393838716432 in words is "three hundred ninety-three billion, eight hundred thirty-eight million, seven hundred sixteen thousand, four hundred thirty-two".