3537968 has 40 divisors (see below), whose sum is σ = 8094720. Its totient is φ = 1465920.

The previous prime is 3537959. The next prime is 3537973. The reversal of 3537968 is 8697353.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2963 + ... + 3981.

It is an arithmetic number, because the mean of its divisors is an integer number (202368).

Almost surely, 2^3537968 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 3537968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047360).

3537968 is an abundant number, since it is smaller than the sum of its proper divisors (4556752).

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

3537968 is a wasteful number, since it uses less digits than its factorization.

3537968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1059 counting only the distinct ones).

The product of its digits is 136080, while the sum is 41.

The square root of 3537968 is about 1880.9486968017. The cubic root of 3537968 is about 152.3764905192.

The spelling of 3537968 in words is "three million, five hundred thirty-seven thousand, nine hundred sixty-eight".