37974361322240 has 288 divisors, whose sum is σ = 106459628956800. Its totient is φ = 12972736659456.

The previous prime is 37974361322213. The next prime is 37974361322243. The reversal of 37974361322240 is 4222316347973.

It is a super-2 number, since 2×37974361322240² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37974361322243) 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, 121457954 + ... + 121770206.

Almost surely, 2^{37974361322240} 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 37974361322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53229814478400).

37974361322240 is an abundant number, since it is smaller than the sum of its proper divisors (68485267634560).

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

37974361322240 is an equidigital number, since it uses as much as digits as its factorization.

37974361322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312572 (or 312544 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 53.

The spelling of 37974361322240 in words is "thirty-seven trillion, nine hundred seventy-four billion, three hundred sixty-one million, three hundred twenty-two thousand, two hundred forty".