380820960 has 192 divisors, whose sum is σ = 1435613760. Its totient is φ = 93726720.

The previous prime is 380820907. The next prime is 380820977. The reversal of 380820960 is 69028083.

380820960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52770 + ... + 59550.

It is an arithmetic number, because the mean of its divisors is an integer number (7477155).

Almost surely, 2^380820960 is an apocalyptic number.

380820960 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 380820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717806880).

380820960 is an abundant number, since it is smaller than the sum of its proper divisors (1054792800).

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

380820960 is a wasteful number, since it uses less digits than its factorization.

380820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 380820960 is about 19514.6345084913. The cubic root of 380820960 is about 724.8368780850.

The spelling of 380820960 in words is "three hundred eighty million, eight hundred twenty thousand, nine hundred sixty".