372974400 has 252 divisors, whose sum is σ = 1351178400. Its totient is φ = 97551360.

The previous prime is 372974359. The next prime is 372974401. The reversal of 372974400 is 4479273.

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 (372974401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 849381 + ... + 849819.

Almost surely, 2^372974400 is an apocalyptic number.

372974400 is a gapful number since it is divisible by the number (30) 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 372974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675589200).

372974400 is an abundant number, since it is smaller than the sum of its proper divisors (978204000).

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

372974400 is a wasteful number, since it uses less digits than its factorization.

372974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

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

The square root of 372974400 is about 19312.5451455783. The cubic root of 372974400 is about 719.8240310705.

The spelling of 372974400 in words is "three hundred seventy-two million, nine hundred seventy-four thousand, four hundred".