37661092896 has 96 divisors (see below), whose sum is σ = 118929807360. Its totient is φ = 10193976576.

The previous prime is 37661092891. The next prime is 37661092901. The reversal of 37661092896 is 69829016673.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (37661092891) and next prime (37661092901).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×37661092896² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (37661092891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462056 + ... + 1487591.

It is an arithmetic number, because the mean of its divisors is an integer number (1238852160).

Almost surely, 2^37661092896 is an apocalyptic number.

It is an amenable number.

37661092896 is an abundant number, since it is smaller than the sum of its proper divisors (81268714464).

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

37661092896 is a wasteful number, since it uses less digits than its factorization.

37661092896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949686 (or 2949678 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 37661092896 in words is "thirty-seven billion, six hundred sixty-one million, ninety-two thousand, eight hundred ninety-six".