380943360 has 264 divisors, whose sum is σ = 1509801696. Its totient is φ = 86999040.

The previous prime is 380943349. The next prime is 380943371. The reversal of 380943360 is 63349083.

It is an interprime number because it is at equal distance from previous prime (380943349) and next prime (380943371).

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 23 ways as a sum of consecutive naturals, for example, 321970 + ... + 323150.

Almost surely, 2^380943360 is an apocalyptic number.

380943360 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 380943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754900848).

380943360 is an abundant number, since it is smaller than the sum of its proper divisors (1128858336).

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

380943360 is a wasteful number, since it uses less digits than its factorization.

380943360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 380943360 is about 19517.7703644653. The cubic root of 380943360 is about 724.9145265863.

The spelling of 380943360 in words is "three hundred eighty million, nine hundred forty-three thousand, three hundred sixty".