374892672 has 256 divisors, whose sum is σ = 1284710400. Its totient is φ = 94003200.

The previous prime is 374892649. The next prime is 374892673. The reversal of 374892672 is 276298473.

374892672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (374892673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916404 + ... + 916812.

It is an arithmetic number, because the mean of its divisors is an integer number (5018400).

Almost surely, 2^374892672 is an apocalyptic number.

374892672 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 374892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642355200).

374892672 is an abundant number, since it is smaller than the sum of its proper divisors (909817728).

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

374892672 is a wasteful number, since it uses less digits than its factorization.

374892672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 374892672 is about 19362.1453356801. The cubic root of 374892672 is about 721.0559813617.

The spelling of 374892672 in words is "three hundred seventy-four million, eight hundred ninety-two thousand, six hundred seventy-two".