3956160 has 112 divisors (see below), whose sum is σ = 13569696. Its totient is φ = 970752.

The previous prime is 3956159. The next prime is 3956171. The reversal of 3956160 is 616593.

It is a happy number.

3956160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12322 + ... + 12638.

It is an arithmetic number, because the mean of its divisors is an integer number (121158).

Almost surely, 2^3956160 is an apocalyptic number.

3956160 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 3956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784848).

3956160 is an abundant number, since it is smaller than the sum of its proper divisors (9613536).

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

3956160 is a wasteful number, since it uses less digits than its factorization.

3956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3956160 is about 1989.0098038974. The cubic root of 3956160 is about 158.1580430042.

It can be divided in two parts, 39561 and 60, that added together give a triangular number (39621 = T₂₈₁).

The spelling of 3956160 in words is "three million, nine hundred fifty-six thousand, one hundred sixty".