380088864 has 144 divisors (see below), whose sum is σ = 1132716312. Its totient is φ = 120766464.

The previous prime is 380088857. The next prime is 380088871. The reversal of 380088864 is 468880083.

It is an interprime number because it is at equal distance from previous prime (380088857) and next prime (380088871).

It can be written as a sum of positive squares in 4 ways, for example, as 372798864 + 7290000 = 19308^2 + 2700^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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, 564432 + ... + 565104.

Almost surely, 2^380088864 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 380088864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566358156).

380088864 is an abundant number, since it is smaller than the sum of its proper divisors (752627448).

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

380088864 is a wasteful number, since it uses less digits than its factorization.

380088864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 380088864 is about 19495.8678698846. The cubic root of 380088864 is about 724.3721009834.

The spelling of 380088864 in words is "three hundred eighty million, eighty-eight thousand, eight hundred sixty-four".