380884032 has 168 divisors, whose sum is σ = 1192682400. Its totient is φ = 120185856.

The previous prime is 380884027. The next prime is 380884033. The reversal of 380884032 is 230488083.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (380884033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294844 + ... + 296132.

It is an arithmetic number, because the mean of its divisors is an integer number (7099300).

Almost surely, 2^380884032 is an apocalyptic number.

380884032 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 380884032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596341200).

380884032 is an abundant number, since it is smaller than the sum of its proper divisors (811798368).

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

380884032 is a wasteful number, since it uses less digits than its factorization.

380884032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 380884032 is about 19516.2504595529. The cubic root of 380884032 is about 724.8768919784.

The spelling of 380884032 in words is "three hundred eighty million, eight hundred eighty-four thousand, thirty-two".