3874624 has 28 divisors (see below), whose sum is σ = 8281924. Its totient is φ = 1787904.

The previous prime is 3874583. The next prime is 3874639. The reversal of 3874624 is 4264783.

3874624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 3356224 = 720^2 + 1832^2 .

It is a super-2 number, since 2×3874624² = 30025422282752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3874624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1497 + ... + 3160.

It is an arithmetic number, because the mean of its divisors is an integer number (295783).

Almost surely, 2^3874624 is an apocalyptic number.

It is an amenable number.

3874624 is an abundant number, since it is smaller than the sum of its proper divisors (4407300).

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

3874624 is a wasteful number, since it uses less digits than its factorization.

3874624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4672 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 3874624 is about 1968.4064620906. The cubic root of 3874624 is about 157.0639522009.

The spelling of 3874624 in words is "three million, eight hundred seventy-four thousand, six hundred twenty-four".