386806438424700 has 864 divisors, whose sum is σ = 1512899349911040. Its totient is φ = 83741622681600.

The previous prime is 386806438424699. The next prime is 386806438424723. The reversal of 386806438424700 is 7424834608683.

It is a happy number.

386806438424700 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 0 + 6 + 4 + 384 + 247 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19782450124 + ... + 19782469676.

Almost surely, 2^{386806438424700} is an apocalyptic number.

386806438424700 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 386806438424700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756449674955520).

386806438424700 is an abundant number, since it is smaller than the sum of its proper divisors (1126092911486340).

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

386806438424700 is a wasteful number, since it uses less digits than its factorization.

386806438424700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25729 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 386806438424700 in words is "three hundred eighty-six trillion, eight hundred six billion, four hundred thirty-eight million, four hundred twenty-four thousand, seven hundred".