382668672 has 64 divisors (see below), whose sum is σ = 1027976400. Its totient is φ = 126111744.

The previous prime is 382668661. The next prime is 382668679. The reversal of 382668672 is 276866283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382668679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28578 + ... + 39774.

Almost surely, 2^382668672 is an apocalyptic number.

382668672 is a gapful number since it is divisible by the number (32) 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 382668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513988200).

382668672 is an abundant number, since it is smaller than the sum of its proper divisors (645307728).

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

382668672 is a wasteful number, since it uses less digits than its factorization.

382668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11303 (or 11291 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 382668672 is about 19561.9189242773. The cubic root of 382668672 is about 726.0072702260.

The spelling of 382668672 in words is "three hundred eighty-two million, six hundred sixty-eight thousand, six hundred seventy-two".