3956480 has 72 divisors (see below), whose sum is σ = 10375344. Its totient is φ = 1433600.

The previous prime is 3956471. The next prime is 3956501. The reversal of 3956480 is 846593.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3956480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13940 + ... + 14220.

It is an arithmetic number, because the mean of its divisors is an integer number (144102).

Almost surely, 2^3956480 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 3956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187672).

3956480 is an abundant number, since it is smaller than the sum of its proper divisors (6418864).

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

3956480 is a wasteful number, since it uses less digits than its factorization.

3956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3956480 is about 1989.0902443077. The cubic root of 3956480 is about 158.1623071737.

The spelling of 3956480 in words is "three million, nine hundred fifty-six thousand, four hundred eighty".