3956640 has 48 divisors (see below), whose sum is σ = 12464928. Its totient is φ = 1054976.

The previous prime is 3956639. The next prime is 3956647. The reversal of 3956640 is 466593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3956647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3642 + ... + 4601.

It is an arithmetic number, because the mean of its divisors is an integer number (259686).

Almost surely, 2^3956640 is an apocalyptic number.

3956640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3956640 is an abundant number, since it is smaller than the sum of its proper divisors (8508288).

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

3956640 is a wasteful number, since it uses less digits than its factorization.

3956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8261 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3956640 is about 1989.1304632929. The cubic root of 3956640 is about 158.1644391721.

The spelling of 3956640 in words is "three million, nine hundred fifty-six thousand, six hundred forty".