37990218240 has 800 divisors, whose sum is σ = 155342713680. Its totient is φ = 8790736896.

The previous prime is 37990218169. The next prime is 37990218247. The reversal of 37990218240 is 4281209973.

It can be written as a sum of positive squares in 8 ways, for example, as 15948658944 + 22041559296 = 126288^2 + 148464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (37990218247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45826146 + ... + 45826974.

Almost surely, 2^37990218240 is an apocalyptic number.

37990218240 is a gapful number since it is divisible by the number (30) 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 37990218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77671356840).

37990218240 is an abundant number, since it is smaller than the sum of its proper divisors (117352495440).

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

37990218240 is a wasteful number, since it uses less digits than its factorization.

37990218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 37990218240 in words is "thirty-seven billion, nine hundred ninety million, two hundred eighteen thousand, two hundred forty".