380970576 has 120 divisors (see below), whose sum is σ = 1236906944. Its totient is φ = 107205120.

The previous prime is 380970547. The next prime is 380970619. The reversal of 380970576 is 675079083.

It is a happy number.

380970576 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 70 + 576 = 666.

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, 64716 + ... + 70356.

Almost surely, 2^380970576 is an apocalyptic number.

380970576 is a gapful number since it is divisible by the number (36) 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 380970576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618453472).

380970576 is an abundant number, since it is smaller than the sum of its proper divisors (855936368).

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

380970576 is a wasteful number, since it uses less digits than its factorization.

380970576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 380970576 is about 19518.4675627981. The cubic root of 380970576 is about 724.9317896985.

The spelling of 380970576 in words is "three hundred eighty million, nine hundred seventy thousand, five hundred seventy-six".