37980900 has 126 divisors (see below), whose sum is σ = 123808482. Its totient is φ = 10108800.

The previous prime is 37980871. The next prime is 37980937. The reversal of 37980900 is 908973.

It can be written as a sum of positive squares in 3 ways, for example, as 746496 + 37234404 = 864^2 + 6102^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 72640 + ... + 73160.

It is an arithmetic number, because the mean of its divisors is an integer number (982607).

Almost surely, 2^37980900 is an apocalyptic number.

37980900 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 37980900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61904241).

37980900 is an abundant number, since it is smaller than the sum of its proper divisors (85827582).

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

37980900 is a wasteful number, since it uses less digits than its factorization.

37980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 37980900 is about 6162.8645936772. The cubic root of 37980900 is about 336.1412034063.

The spelling of 37980900 in words is "thirty-seven million, nine hundred eighty thousand, nine hundred".