37605348875352 has 64 divisors (see below), whose sum is σ = 94043721312000. Its totient is φ = 12531070491264.

The previous prime is 37605348875299. The next prime is 37605348875359. The reversal of 37605348875352 is 25357884350673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37605348875359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1142690674 + ... + 1142723582.

It is an arithmetic number, because the mean of its divisors is an integer number (1469433145500).

Almost surely, 2^{37605348875352} is an apocalyptic number.

It is an amenable number.

37605348875352 is an abundant number, since it is smaller than the sum of its proper divisors (56438372436648).

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

37605348875352 is a wasteful number, since it uses less digits than its factorization.

37605348875352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46840 (or 46836 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 66.

The spelling of 37605348875352 in words is "thirty-seven trillion, six hundred five billion, three hundred forty-eight million, eight hundred seventy-five thousand, three hundred fifty-two".