386633952 has 96 divisors (see below), whose sum is σ = 1144684800. Its totient is φ = 126935424.

The previous prime is 386633939. The next prime is 386633957. The reversal of 386633952 is 259336683.

386633952 is a `hidden beast` number, since 3 + 8 + 6 + 633 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 386633898 and 386633907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386633957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54549 + ... + 61227.

It is an arithmetic number, because the mean of its divisors is an integer number (11923800).

Almost surely, 2^386633952 is an apocalyptic number.

386633952 is a gapful number since it is divisible by the number (32) 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 386633952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572342400).

386633952 is an abundant number, since it is smaller than the sum of its proper divisors (758050848).

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

386633952 is a wasteful number, since it uses less digits than its factorization.

386633952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6765 (or 6751 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 386633952 is about 19663.0097391015. The cubic root of 386633952 is about 728.5063297248.

The spelling of 386633952 in words is "three hundred eighty-six million, six hundred thirty-three thousand, nine hundred fifty-two".