3956964 has 48 divisors (see below), whose sum is σ = 10407936. Its totient is φ = 1159200.

The previous prime is 3956957. The next prime is 3956983. The reversal of 3956964 is 4696593.

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, 3609 + ... + 4575.

It is an arithmetic number, because the mean of its divisors is an integer number (216832).

Almost surely, 2^3956964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3956964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203968).

3956964 is an abundant number, since it is smaller than the sum of its proper divisors (6450972).

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

3956964 is a wasteful number, since it uses less digits than its factorization.

3956964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 3956964 is about 1989.2119042475. The cubic root of 3956964 is about 158.1687562930.

The spelling of 3956964 in words is "three million, nine hundred fifty-six thousand, nine hundred sixty-four".