372638880 has 120 divisors (see below), whose sum is σ = 1315150452. Its totient is φ = 99366912.

The previous prime is 372638863. The next prime is 372638881. The reversal of 372638880 is 88836273.

372638880 is a `hidden beast` number, since 3 + 7 + 2 + 638 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 359936784 + 12702096 = 18972^2 + 3564^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (372638881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1417 + ... + 27336.

Almost surely, 2^372638880 is an apocalyptic number.

372638880 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 372638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657575226).

372638880 is an abundant number, since it is smaller than the sum of its proper divisors (942511572).

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

372638880 is a wasteful number, since it uses less digits than its factorization.

372638880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28780 (or 28763 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 372638880 is about 19303.8566094965. The cubic root of 372638880 is about 719.6081200805.

The spelling of 372638880 in words is "three hundred seventy-two million, six hundred thirty-eight thousand, eight hundred eighty".