380052000 has 576 divisors, whose sum is σ = 1545433344. Its totient is φ = 91238400.

The previous prime is 380051957. The next prime is 380052007. The reversal of 380052000 is 250083.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (380052007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16523989 + ... + 16524011.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 2^380052000 is an apocalyptic number.

380052000 is a gapful number since it is divisible by the number (30) 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 380052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772716672).

380052000 is an abundant number, since it is smaller than the sum of its proper divisors (1165381344).

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

380052000 is a wasteful number, since it uses less digits than its factorization.

380052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 380052000 is about 19494.9224158497. The cubic root of 380052000 is about 724.3486817965.

The spelling of 380052000 in words is "three hundred eighty million, fifty-two thousand".