372968640 has 336 divisors, whose sum is σ = 1429792416. Its totient is φ = 88473600.

The previous prime is 372968639. The next prime is 372968653. The reversal of 372968640 is 46869273.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1932384 + ... + 1932576.

Almost surely, 2^372968640 is an apocalyptic number.

372968640 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 372968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714896208).

372968640 is an abundant number, since it is smaller than the sum of its proper divisors (1056823776).

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

372968640 is a wasteful number, since it uses less digits than its factorization.

372968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 372968640 is about 19312.3960191376. The cubic root of 372968640 is about 719.8203255367.

The spelling of 372968640 in words is "three hundred seventy-two million, nine hundred sixty-eight thousand, six hundred forty".