383872032 has 72 divisors (see below), whose sum is σ = 1093545180. Its totient is φ = 127733760.

The previous prime is 383872007. The next prime is 383872061. The reversal of 383872032 is 230278383.

It can be written as a sum of positive squares in 2 ways, for example, as 374654736 + 9217296 = 19356^2 + 3036^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289932 + ... + 291252.

Almost surely, 2^383872032 is an apocalyptic number.

383872032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

383872032 is an abundant number, since it is smaller than the sum of its proper divisors (709673148).

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

383872032 is a wasteful number, since it uses less digits than its factorization.

383872032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 383872032 is about 19592.6525003635. The cubic root of 383872032 is about 726.7674874372.

The spelling of 383872032 in words is "three hundred eighty-three million, eight hundred seventy-two thousand, thirty-two".