37248728832 has 432 divisors, whose sum is σ = 131320949760. Its totient is φ = 9911697408.

The previous prime is 37248728819. The next prime is 37248728861. The reversal of 37248728832 is 23882784273.

It is a super-3 number, since 3×37248728832³ (a number of 33 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28239469 + ... + 28240787.

It is an arithmetic number, because the mean of its divisors is an integer number (303983680).

Almost surely, 2^37248728832 is an apocalyptic number.

37248728832 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 37248728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65660474880).

37248728832 is an abundant number, since it is smaller than the sum of its proper divisors (94072220928).

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

37248728832 is a wasteful number, since it uses less digits than its factorization.

37248728832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1451 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 37248728832 in words is "thirty-seven billion, two hundred forty-eight million, seven hundred twenty-eight thousand, eight hundred thirty-two".