376410672 has 240 divisors, whose sum is σ = 1253392000. Its totient is φ = 107775360.

The previous prime is 376410667. The next prime is 376410701. The reversal of 376410672 is 276014673.

376410672 is a `hidden beast` number, since 3 + 7 + 641 + 0 + 6 + 7 + 2 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992979 + ... + 993357.

Almost surely, 2^376410672 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 376410672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626696000).

376410672 is an abundant number, since it is smaller than the sum of its proper divisors (876981328).

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

376410672 is a wasteful number, since it uses less digits than its factorization.

376410672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 376410672 is about 19401.3059354261. The cubic root of 376410672 is about 722.0278941451.

The spelling of 376410672 in words is "three hundred seventy-six million, four hundred ten thousand, six hundred seventy-two".