37996410672 has 240 divisors, whose sum is σ = 123083550720. Its totient is φ = 10821081600.

The previous prime is 37996410659. The next prime is 37996410679. The reversal of 37996410672 is 27601469973.

It is a happy number.

37996410672 is a `hidden beast` number, since 3 + 79 + 96 + 410 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (37996410679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3817222 + ... + 3827162.

It is an arithmetic number, because the mean of its divisors is an integer number (512848128).

Almost surely, 2^37996410672 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 37996410672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61541775360).

37996410672 is an abundant number, since it is smaller than the sum of its proper divisors (85087140048).

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

37996410672 is a wasteful number, since it uses less digits than its factorization.

37996410672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 37996410672 in words is "thirty-seven billion, nine hundred ninety-six million, four hundred ten thousand, six hundred seventy-two".