3747904 has 28 divisors (see below), whose sum is σ = 7504684. Its totient is φ = 1857024.

The previous prime is 3747899. The next prime is 3747917. The reversal of 3747904 is 4097473.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 2190400 = 1248^2 + 1480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3747904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9862 + ... + 10234.

Almost surely, 2^3747904 is an apocalyptic number.

It is an amenable number.

3747904 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3747904 is a wasteful number, since it uses less digits than its factorization.

3747904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 3747904 is about 1935.9504125881. The cubic root of 3747904 is about 155.3326743061.

It can be divided in two parts, 374 and 7904, that multiplied together give a triangular number (2956096 = T₂₄₃₁).

The spelling of 3747904 in words is "three million, seven hundred forty-seven thousand, nine hundred four".