37648961532 has 288 divisors, whose sum is σ = 125020127232. Its totient is φ = 9269987328.

The previous prime is 37648961531. The next prime is 37648961569. The reversal of 37648961532 is 23516984673.

37648961532 is a `hidden beast` number, since 3 + 7 + 6 + 48 + 9 + 61 + 532 = 666.

37648961532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37648961531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7070223 + ... + 7075545.

It is an arithmetic number, because the mean of its divisors is an integer number (434097664).

Almost surely, 2^37648961532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37648961532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62510063616).

37648961532 is an abundant number, since it is smaller than the sum of its proper divisors (87371165700).

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

37648961532 is a wasteful number, since it uses less digits than its factorization.

37648961532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5492 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 37648961532 in words is "thirty-seven billion, six hundred forty-eight million, nine hundred sixty-one thousand, five hundred thirty-two".