380396016 has 540 divisors, whose sum is σ = 1513329480. Its totient is φ = 88058880.

The previous prime is 380395993. The next prime is 380396039. The reversal of 380396016 is 610693083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (380395993) and next prime (380396039).

It is a super-2 number, since 2×380396016² = 289402257977344512, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 13117090 + ... + 13117118.

It is an arithmetic number, because the mean of its divisors is an integer number (2802462).

Almost surely, 2^380396016 is an apocalyptic number.

380396016 is a gapful number since it is divisible by the number (36) 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 380396016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756664740).

380396016 is an abundant number, since it is smaller than the sum of its proper divisors (1132933464).

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

380396016 is a wasteful number, since it uses less digits than its factorization.

380396016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 380396016 is about 19503.7436406450. The cubic root of 380396016 is about 724.5671715358.

The spelling of 380396016 in words is "three hundred eighty million, three hundred ninety-six thousand, sixteen".