382376016 has 120 divisors (see below), whose sum is σ = 1172904096. Its totient is φ = 115326720.

The previous prime is 382376011. The next prime is 382376017. The reversal of 382376016 is 610673283.

It is a happy number.

It is a super-2 number, since 2×382376016² = 292422835224064512, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (382376011) 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, 447846 + ... + 448698.

Almost surely, 2^382376016 is an apocalyptic number.

382376016 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 382376016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586452048).

382376016 is an abundant number, since it is smaller than the sum of its proper divisors (790528080).

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

382376016 is a wasteful number, since it uses less digits than its factorization.

382376016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 382376016 is about 19554.4372458018. The cubic root of 382376016 is about 725.8221452633.

It can be divided in two parts, 38237 and 6016, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 382376016 in words is "three hundred eighty-two million, three hundred seventy-six thousand, sixteen".