386345700 has 216 divisors, whose sum is σ = 1353538368. Its totient is φ = 95022720.

The previous prime is 386345699. The next prime is 386345717. The reversal of 386345700 is 7543683.

It is a happy number.

386345700 is a `hidden beast` number, since 3 + 86 + 3 + 4 + 570 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 315289 + ... + 316511.

Almost surely, 2^386345700 is an apocalyptic number.

386345700 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 386345700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676769184).

386345700 is an abundant number, since it is smaller than the sum of its proper divisors (967192668).

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

386345700 is a wasteful number, since it uses less digits than its factorization.

386345700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 386345700 is about 19655.6785688004. The cubic root of 386345700 is about 728.3252405978.

The spelling of 386345700 in words is "three hundred eighty-six million, three hundred forty-five thousand, seven hundred".