37934364991744 has 81 divisors (see below), whose sum is σ = 81996026167629. Its totient is φ = 17507577185280.

The previous prime is 37934364991723. The next prime is 37934364991751. The reversal of 37934364991744 is 44719946343973.

It is a happy number.

The square root of 37934364991744 is 6159088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5611592454400 + 32322772537344 = 2368880^2 + 5685312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1281075499 + ... + 1281105109.

Almost surely, 2^{37934364991744} is an apocalyptic number.

37934364991744 is the 6159088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37934364991744

37934364991744 is an abundant number, since it is smaller than the sum of its proper divisors (44061661175885).

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

37934364991744 is an frugal number, since it uses more digits than its factorization.

37934364991744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59264 (or 29626 counting only the distinct ones).

The product of its digits is 1481421312, while the sum is 73.

The spelling of 37934364991744 in words is "thirty-seven trillion, nine hundred thirty-four billion, three hundred sixty-four million, nine hundred ninety-one thousand, seven hundred forty-four".