37934531712 has 768 divisors, whose sum is σ = 144567521280. Its totient is φ = 9614868480.

The previous prime is 37934531707. The next prime is 37934531749. The reversal of 37934531712 is 21713543973.

37934531712 is a `hidden beast` number, since 3 + 79 + 34 + 531 + 7 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112565208 + ... + 112565544.

It is an arithmetic number, because the mean of its divisors is an integer number (188238960).

Almost surely, 2^37934531712 is an apocalyptic number.

37934531712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37934531712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72283760640).

37934531712 is an abundant number, since it is smaller than the sum of its proper divisors (106632989568).

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

37934531712 is a wasteful number, since it uses less digits than its factorization.

37934531712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The spelling of 37934531712 in words is "thirty-seven billion, nine hundred thirty-four million, five hundred thirty-one thousand, seven hundred twelve".