37980961920 has 768 divisors, whose sum is σ = 150586076160. Its totient is φ = 8736768000.

The previous prime is 37980961873. The next prime is 37980961969. The reversal of 37980961920 is 2916908973.

37980961920 is a `hidden beast` number, since 379 + 80 + 9 + 6 + 192 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119813602 + ... + 119813918.

It is an arithmetic number, because the mean of its divisors is an integer number (196075620).

Almost surely, 2^37980961920 is an apocalyptic number.

37980961920 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 37980961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75293038080).

37980961920 is an abundant number, since it is smaller than the sum of its proper divisors (112605114240).

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

37980961920 is a wasteful number, since it uses less digits than its factorization.

37980961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 37980961920 in words is "thirty-seven billion, nine hundred eighty million, nine hundred sixty-one thousand, nine hundred twenty".