380968800 has 144 divisors (see below), whose sum is σ = 1248326352. Its totient is φ = 100915200.

The previous prime is 380968787. The next prime is 380968801. The reversal of 380968800 is 8869083.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380968801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433962 + ... + 434838.

It is an arithmetic number, because the mean of its divisors is an integer number (8668933).

Almost surely, 2^380968800 is an apocalyptic number.

380968800 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 380968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624163176).

380968800 is an abundant number, since it is smaller than the sum of its proper divisors (867357552).

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

380968800 is a wasteful number, since it uses less digits than its factorization.

380968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 380968800 is about 19518.4220673701. The cubic root of 380968800 is about 724.9306632065.

The spelling of 380968800 in words is "three hundred eighty million, nine hundred sixty-eight thousand, eight hundred".