3735984 has 40 divisors (see below), whose sum is σ = 11031040. Its totient is φ = 1067328.

The previous prime is 3735967. The next prime is 3736003. The reversal of 3735984 is 4895373.

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, 5224 + ... + 5895.

It is an arithmetic number, because the mean of its divisors is an integer number (275776).

Almost surely, 2^3735984 is an apocalyptic number.

It is an amenable number.

3735984 is an abundant number, since it is smaller than the sum of its proper divisors (7295056).

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

3735984 is a wasteful number, since it uses less digits than its factorization.

3735984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11137 (or 11131 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 3735984 is about 1932.8693696161. The cubic root of 3735984 is about 155.1678237757.

The spelling of 3735984 in words is "three million, seven hundred thirty-five thousand, nine hundred eighty-four".