3906840 has 64 divisors (see below), whose sum is σ = 13397760. Its totient is φ = 892800.

The previous prime is 3906839. The next prime is 3906857. The reversal of 3906840 is 486093.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3906798 and 3906807.

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, 1486 + ... + 3165.

It is an arithmetic number, because the mean of its divisors is an integer number (209340).

Almost surely, 2^3906840 is an apocalyptic number.

3906840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3906840 is an abundant number, since it is smaller than the sum of its proper divisors (9490920).

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

3906840 is a wasteful number, since it uses less digits than its factorization.

3906840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3906840 is about 1976.5727914752. The cubic root of 3906840 is about 157.4980599408.

The spelling of 3906840 in words is "three million, nine hundred six thousand, eight hundred forty".