3982624 has 24 divisors (see below), whose sum is σ = 8303148. Its totient is φ = 1873920.

The previous prime is 3982597. The next prime is 3982631. The reversal of 3982624 is 4262893.

It can be written as a sum of positive squares in 2 ways, for example, as 3763600 + 219024 = 1940^2 + 468^2 .

It is a super-2 number, since 2×3982624² = 31722587850752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 3982624.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3117 + ... + 4204.

Almost surely, 2^3982624 is an apocalyptic number.

3982624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3982624 is an abundant number, since it is smaller than the sum of its proper divisors (4320524).

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

3982624 is a wasteful number, since it uses less digits than its factorization.

3982624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7348 (or 7340 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 3982624 is about 1995.6512721415. The cubic root of 3982624 is about 158.5099158879.

The spelling of 3982624 in words is "three million, nine hundred eighty-two thousand, six hundred twenty-four".