37980096 has 168 divisors, whose sum is σ = 127869696. Its totient is φ = 9838080.

The previous prime is 37980077. The next prime is 37980133. The reversal of 37980096 is 69008973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103305 + ... + 103671.

Almost surely, 2^37980096 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 37980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63934848).

37980096 is an abundant number, since it is smaller than the sum of its proper divisors (89889600).

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

37980096 is a wasteful number, since it uses less digits than its factorization.

37980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 37980096 is about 6162.7993639255. The cubic root of 37980096 is about 336.1388315173.

The spelling of 37980096 in words is "thirty-seven million, nine hundred eighty thousand, ninety-six".