386802407124 has 432 divisors, whose sum is σ = 1248744107520. Its totient is φ = 100205199360.

The previous prime is 386802407083. The next prime is 386802407137. The reversal of 386802407124 is 421704208683.

It is a happy number.

386802407124 is a `hidden beast` number, since 386 + 8 + 0 + 240 + 7 + 1 + 24 = 666.

It is a super-2 number, since 2×386802407124² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 386802407124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 238913587 + ... + 238915205.

It is an arithmetic number, because the mean of its divisors is an integer number (2890611360).

Almost surely, 2^386802407124 is an apocalyptic number.

386802407124 is a gapful number since it is divisible by the number (34) 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 386802407124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624372053760).

386802407124 is an abundant number, since it is smaller than the sum of its proper divisors (861941700396).

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

386802407124 is a wasteful number, since it uses less digits than its factorization.

386802407124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 386802407124 in words is "three hundred eighty-six billion, eight hundred two million, four hundred seven thousand, one hundred twenty-four".