37620096 has 48 divisors (see below), whose sum is σ = 100248660. Its totient is φ = 12499968.

The previous prime is 37620091. The next prime is 37620097. The reversal of 37620096 is 69002673.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37620091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120036 + ... + 120348.

Almost surely, 2^37620096 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 37620096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50124330).

37620096 is an abundant number, since it is smaller than the sum of its proper divisors (62628564).

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

37620096 is an frugal number, since it uses more digits than its factorization.

37620096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 37620096 is about 6133.5223159291. The cubic root of 37620096 is about 335.0734108072.

The spelling of 37620096 in words is "thirty-seven million, six hundred twenty thousand, ninety-six".