37982112100 has 27 divisors (see below), whose sum is σ = 82425412587. Its totient is φ = 15192065280.

The previous prime is 37982112067. The next prime is 37982112101. The reversal of 37982112100 is 121128973.

The square root of 37982112100 is 194890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19374969636 + 18607142464 = 139194^2 + 136408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37982112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1939156 + ... + 1958644.

Almost surely, 2^37982112100 is an apocalyptic number.

37982112100 is the 194890-th square number.

It is an amenable number.

37982112100 is an abundant number, since it is smaller than the sum of its proper divisors (44443300487).

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

37982112100 is an frugal number, since it uses more digits than its factorization.

37982112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38992 (or 19496 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 37982112100 in words is "thirty-seven billion, nine hundred eighty-two million, one hundred twelve thousand, one hundred".