380672000 has 96 divisors (see below), whose sum is σ = 950564160. Its totient is φ = 152166400.

The previous prime is 380671981. The next prime is 380672029. The reversal of 380672000 is 276083.

It is a super-2 number, since 2×380672000² = 289822343168000000, 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, 255257 + ... + 256743.

It is an arithmetic number, because the mean of its divisors is an integer number (9901710).

Almost surely, 2^380672000 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 380672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475282080).

380672000 is an abundant number, since it is smaller than the sum of its proper divisors (569892160).

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

380672000 is an equidigital number, since it uses as much as digits as its factorization.

380672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 380672000 is about 19510.8175123443. The cubic root of 380672000 is about 724.7423579179.

The spelling of 380672000 in words is "three hundred eighty million, six hundred seventy-two thousand".