37981906560 has 256 divisors, whose sum is σ = 144867744000. Its totient is φ = 9349337088.

The previous prime is 37981906553. The next prime is 37981906561. The reversal of 37981906560 is 6560918973.

37981906560 is a `hidden beast` number, since 3 + 79 + 8 + 1 + 9 + 0 + 6 + 560 = 666.

37981906560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 37981906497 and 37981906506.

It is not an unprimeable number, because it can be changed into a prime (37981906561) 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, 140101 + ... + 309179.

It is an arithmetic number, because the mean of its divisors is an integer number (565889625).

Almost surely, 2^37981906560 is an apocalyptic number.

37981906560 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 37981906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72433872000).

37981906560 is an abundant number, since it is smaller than the sum of its proper divisors (106885837440).

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

37981906560 is a wasteful number, since it uses less digits than its factorization.

37981906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169120 (or 169102 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 37981906560 in words is "thirty-seven billion, nine hundred eighty-one million, nine hundred six thousand, five hundred sixty".