37648960104 has 256 divisors, whose sum is σ = 123763507200. Its totient is φ = 9281433600.

The previous prime is 37648960091. The next prime is 37648960117. The reversal of 37648960104 is 40106984673.

It is an interprime number because it is at equal distance from previous prime (37648960091) and next prime (37648960117).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1670994 + ... + 1693374.

It is an arithmetic number, because the mean of its divisors is an integer number (483451200).

Almost surely, 2^37648960104 is an apocalyptic number.

37648960104 is a gapful number since it is divisible by the number (34) 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 37648960104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61881753600).

37648960104 is an abundant number, since it is smaller than the sum of its proper divisors (86114547096).

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

37648960104 is a wasteful number, since it uses less digits than its factorization.

37648960104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22464 (or 22460 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 37648960104 in words is "thirty-seven billion, six hundred forty-eight million, nine hundred sixty thousand, one hundred four".