37745991738 has 240 divisors, whose sum is σ = 109618435080. Its totient is φ = 9610949376.

The previous prime is 37745991733. The next prime is 37745991749. The reversal of 37745991738 is 83719954773.

37745991738 is a `hidden beast` number, since 3 + 7 + 7 + 4 + 599 + 1 + 7 + 38 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25184737809 + 12561253929 = 158697^2 + 112077^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (37745991733) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2986320 + ... + 2998932.

Almost surely, 2^37745991738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37745991738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54809217540).

37745991738 is an abundant number, since it is smaller than the sum of its proper divisors (71872443342).

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

37745991738 is a wasteful number, since it uses less digits than its factorization.

37745991738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683 (or 12667 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 37745991738 in words is "thirty-seven billion, seven hundred forty-five million, nine hundred ninety-one thousand, seven hundred thirty-eight".