3996840 has 64 divisors (see below), whose sum is σ = 12628800. Its totient is φ = 1009152.

The previous prime is 3996827. The next prime is 3996857. The reversal of 3996840 is 486993.

3996840 = T₁₂₅ + T₁₂₆ + ... + T₂₉₅.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404 + ... + 3156.

It is an arithmetic number, because the mean of its divisors is an integer number (197325).

Almost surely, 2^3996840 is an apocalyptic number.

3996840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314400).

3996840 is an abundant number, since it is smaller than the sum of its proper divisors (8631960).

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

3996840 is a wasteful number, since it uses less digits than its factorization.

3996840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3996840 is about 1999.2098439133. The cubic root of 3996840 is about 158.6982926232.

The spelling of 3996840 in words is "three million, nine hundred ninety-six thousand, eight hundred forty".