386933220890820 has 144 divisors (see below), whose sum is σ = 1242888073435008. Its totient is φ = 97100960302080.

The previous prime is 386933220890813. The next prime is 386933220890873. The reversal of 386933220890820 is 28098022339683.

386933220890820 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 332 + 208 + 90 + 8 + 2 + 0 = 666.

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, 17824347 + ... + 33038973.

It is an arithmetic number, because the mean of its divisors is an integer number (8631167176632).

Almost surely, 2^{386933220890820} is an apocalyptic number.

386933220890820 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 386933220890820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621444036717504).

386933220890820 is an abundant number, since it is smaller than the sum of its proper divisors (855954852544188).

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

386933220890820 is a wasteful number, since it uses less digits than its factorization.

386933220890820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15222970 (or 15222965 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 386933220890820 in words is "three hundred eighty-six trillion, nine hundred thirty-three billion, two hundred twenty million, eight hundred ninety thousand, eight hundred twenty".