37743132879936 has 315 divisors, whose sum is σ = 122994107713477. Its totient is φ = 11435838543360.

The previous prime is 37743132879913. The next prime is 37743132879953. The reversal of 37743132879936 is 63997823134773.

The square root of 37743132879936 is 6143544.

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

37743132879936 is a `hidden beast` number, since 3 + 7 + 7 + 431 + 32 + 8 + 79 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31044063758400 + 6699069121536 = 5571720^2 + 2588256^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4865682970 + ... + 4865690726.

Almost surely, 2^{37743132879936} is an apocalyptic number.

37743132879936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

37743132879936 is the 6143544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37743132879936

37743132879936 is an abundant number, since it is smaller than the sum of its proper divisors (85250974833541).

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

37743132879936 is an frugal number, since it uses more digits than its factorization.

37743132879936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15560 (or 7773 counting only the distinct ones).

The product of its digits is 864162432, while the sum is 72.

The spelling of 37743132879936 in words is "thirty-seven trillion, seven hundred forty-three billion, one hundred thirty-two million, eight hundred seventy-nine thousand, nine hundred thirty-six".