380034880 has 56 divisors (see below), whose sum is σ = 919840680. Its totient is φ = 149514240.

The previous prime is 380034869. The next prime is 380034901. The reversal of 380034880 is 88430083.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 379158784 = 936^2 + 19472^2 .

It is a super-2 number, since 2×380034880² = 288853020033228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9786 + ... + 29254.

Almost surely, 2^380034880 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 380034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459920340).

380034880 is an abundant number, since it is smaller than the sum of its proper divisors (539805800).

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

380034880 is a wasteful number, since it uses less digits than its factorization.

380034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19547 (or 19537 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 380034880 is about 19494.4833222120. The cubic root of 380034880 is about 724.3378051834.

The spelling of 380034880 in words is "three hundred eighty million, thirty-four thousand, eight hundred eighty".