37313402112 has 288 divisors, whose sum is σ = 126405538560. Its totient is φ = 10635632640.

The previous prime is 37313402089. The next prime is 37313402141. The reversal of 37313402112 is 21120431373.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 31594162 + ... + 31595342.

It is an arithmetic number, because the mean of its divisors is an integer number (438908120).

Almost surely, 2^37313402112 is an apocalyptic number.

37313402112 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 37313402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63202769280).

37313402112 is an abundant number, since it is smaller than the sum of its proper divisors (89092136448).

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

37313402112 is a wasteful number, since it uses less digits than its factorization.

37313402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 37313402112 its reverse (21120431373), we get a palindrome (58433833485).

The spelling of 37313402112 in words is "thirty-seven billion, three hundred thirteen million, four hundred two thousand, one hundred twelve".