3966840 has 64 divisors (see below), whose sum is σ = 13226400. Its totient is φ = 1057536.

The previous prime is 3966817. The next prime is 3966857. The reversal of 3966840 is 486693.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3966795 and 3966804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757 + ... + 2916.

Almost surely, 2^3966840 is an apocalyptic number.

3966840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3966840 is an abundant number, since it is smaller than the sum of its proper divisors (9259560).

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

3966840 is a wasteful number, since it uses less digits than its factorization.

3966840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3966840 is about 1991.6927473885. The cubic root of 3966840 is about 158.3002356180.

The spelling of 3966840 in words is "three million, nine hundred sixty-six thousand, eight hundred forty".