37952309996352 has 1568 divisors, whose sum is σ = 128817318712320. Its totient is φ = 11029299240960.

The previous prime is 37952309996303. The next prime is 37952309996399. The reversal of 37952309996352 is 25369990325973.

37952309996352 is a `hidden beast` number, since 3 + 7 + 9 + 523 + 0 + 9 + 9 + 96 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 69382650543 + ... + 69382651089.

It is an arithmetic number, because the mean of its divisors is an integer number (82153902240).

Almost surely, 2^{37952309996352} is an apocalyptic number.

37952309996352 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 37952309996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64408659356160).

37952309996352 is an abundant number, since it is smaller than the sum of its proper divisors (90865008715968).

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

37952309996352 is a wasteful number, since it uses less digits than its factorization.

37952309996352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 744017400, while the sum is 72.

The spelling of 37952309996352 in words is "thirty-seven trillion, nine hundred fifty-two billion, three hundred nine million, nine hundred ninety-six thousand, three hundred fifty-two".