382672416 has 96 divisors (see below), whose sum is σ = 1151273088. Its totient is φ = 109025280.

The previous prime is 382672399. The next prime is 382672417. The reversal of 382672416 is 614276283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (382672417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349566 + ... + 350658.

It is an arithmetic number, because the mean of its divisors is an integer number (11992428).

Almost surely, 2^382672416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382672416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575636544).

382672416 is an abundant number, since it is smaller than the sum of its proper divisors (768600672).

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

382672416 is a wasteful number, since it uses less digits than its factorization.

382672416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1626 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 382672416 is about 19562.0146201765. The cubic root of 382672416 is about 726.0096379508.

The spelling of 382672416 in words is "three hundred eighty-two million, six hundred seventy-two thousand, four hundred sixteen".