37997960 has 192 divisors, whose sum is σ = 117002880. Its totient is φ = 10782720.

The previous prime is 37997957. The next prime is 37997969. The reversal of 37997960 is 6979973.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 37997899 and 37997908.

It is not an unprimeable number, because it can be changed into a prime (37997969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520484 + ... + 520556.

It is an arithmetic number, because the mean of its divisors is an integer number (609390).

Almost surely, 2^37997960 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 37997960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58501440).

37997960 is an abundant number, since it is smaller than the sum of its proper divisors (79004920).

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

37997960 is a wasteful number, since it uses less digits than its factorization.

37997960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 50.

The square root of 37997960 is about 6164.2485348986. The cubic root of 37997960 is about 336.1915244057.

The spelling of 37997960 in words is "thirty-seven million, nine hundred ninety-seven thousand, nine hundred sixty".