37305996 has 96 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 9725184.

The previous prime is 37305991. The next prime is 37305997. The reversal of 37305996 is 69950373.

37305996 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 (42).

It is not an unprimeable number, because it can be changed into a prime (37305991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138550 + ... + 138818.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2^37305996 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 37305996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

37305996 is an abundant number, since it is smaller than the sum of its proper divisors (71074164).

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

37305996 is a wasteful number, since it uses less digits than its factorization.

37305996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The square root of 37305996 is about 6107.8634562341. The cubic root of 37305996 is about 334.1382649131.

The spelling of 37305996 in words is "thirty-seven million, three hundred five thousand, nine hundred ninety-six".