37420096 has 56 divisors (see below), whose sum is σ = 85807296. Its totient is φ = 15859200.

The previous prime is 37420091. The next prime is 37420151. The reversal of 37420096 is 69002473.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×37420096³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (37420091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44835 + ... + 45661.

Almost surely, 2^37420096 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 37420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42903648).

37420096 is an abundant number, since it is smaller than the sum of its proper divisors (48387200).

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

37420096 is a wasteful number, since it uses less digits than its factorization.

37420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 37420096 is about 6117.1967436073. The cubic root of 37420096 is about 334.4785710081.

The spelling of 37420096 in words is "thirty-seven million, four hundred twenty thousand, ninety-six".