386561952 has 72 divisors (see below), whose sum is σ = 1256332896. Its totient is φ = 110445696.

The previous prime is 386561951. The next prime is 386561953. The reversal of 386561952 is 259165683.

386561952 is a `hidden beast` number, since 3 + 86 + 561 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (386561951) and next prime (386561953).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 386561898 and 386561907.

It is not an unprimeable number, because it can be changed into a prime (386561951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93858 + ... + 97889.

It is an arithmetic number, because the mean of its divisors is an integer number (17449068).

Almost surely, 2^386561952 is an apocalyptic number.

386561952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

386561952 is an abundant number, since it is smaller than the sum of its proper divisors (869770944).

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

386561952 is a wasteful number, since it uses less digits than its factorization.

386561952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191770 (or 191759 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 386561952 is about 19661.1788049445. The cubic root of 386561952 is about 728.4611054571.

The spelling of 386561952 in words is "three hundred eighty-six million, five hundred sixty-one thousand, nine hundred fifty-two".