386601552 has 80 divisors (see below), whose sum is σ = 1147992000. Its totient is φ = 124419456.

The previous prime is 386601547. The next prime is 386601613. The reversal of 386601552 is 255106683.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2902 + ... + 27957.

It is an arithmetic number, because the mean of its divisors is an integer number (14349900).

Almost surely, 2^386601552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386601552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573996000).

386601552 is an abundant number, since it is smaller than the sum of its proper divisors (761390448).

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

386601552 is a wasteful number, since it uses less digits than its factorization.

386601552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30905 (or 30893 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 386601552 is about 19662.1858398297. The cubic root of 386601552 is about 728.4859794992.

The spelling of 386601552 in words is "three hundred eighty-six million, six hundred one thousand, five hundred fifty-two".