372794400 has 360 divisors, whose sum is σ = 1485936144. Its totient is φ = 90201600.

The previous prime is 372794371. The next prime is 372794407. The reversal of 372794400 is 4497273.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (372794407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712539 + ... + 713061.

Almost surely, 2^372794400 is an apocalyptic number.

372794400 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 372794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742968072).

372794400 is an abundant number, since it is smaller than the sum of its proper divisors (1113141744).

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

372794400 is a wasteful number, since it uses less digits than its factorization.

372794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 544 counting only the distinct ones).

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

The square root of 372794400 is about 19307.8843999025. The cubic root of 372794400 is about 719.7082151015.

The spelling of 372794400 in words is "three hundred seventy-two million, seven hundred ninety-four thousand, four hundred".