380358720 has 448 divisors, whose sum is σ = 1619097600. Its totient is φ = 82114560.

The previous prime is 380358679. The next prime is 380358743. The reversal of 380358720 is 27853083.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148955 + ... + 1149285.

Almost surely, 2^380358720 is an apocalyptic number.

380358720 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 380358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809548800).

380358720 is an abundant number, since it is smaller than the sum of its proper divisors (1238738880).

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

380358720 is a wasteful number, since it uses less digits than its factorization.

380358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 380358720 is about 19502.7874930739. The cubic root of 380358720 is about 724.5434906530.

The spelling of 380358720 in words is "three hundred eighty million, three hundred fifty-eight thousand, seven hundred twenty".