37312364544 has 512 divisors, whose sum is σ = 126598940160. Its totient is φ = 9512681472.

The previous prime is 37312364543. The next prime is 37312364657. The reversal of 37312364544 is 44546321373.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 37312364496 and 37312364505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37312364543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384663504 + ... + 384663600.

It is an arithmetic number, because the mean of its divisors is an integer number (247263555).

Almost surely, 2^37312364544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37312364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63299470080).

37312364544 is an abundant number, since it is smaller than the sum of its proper divisors (89286575616).

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

37312364544 is an equidigital number, since it uses as much as digits as its factorization.

37312364544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 165 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

It can be divided in two parts, 37312 and 364544, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 37312364544 in words is "thirty-seven billion, three hundred twelve million, three hundred sixty-four thousand, five hundred forty-four".