3956120 has 64 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1330560.

The previous prime is 3956119. The next prime is 3956143. The reversal of 3956120 is 216593.

It is a Cunningham number, because it is equal to 1989²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 3956120.

It is a congruent number.

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, 19781 + ... + 19979.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 2^3956120 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 3956120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

3956120 is an abundant number, since it is smaller than the sum of its proper divisors (6411880).

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

3956120 is a wasteful number, since it uses less digits than its factorization.

3956120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 3956120 is about 1988.9997486174. Note that the first 3 decimals coincide. The cubic root of 3956120 is about 158.1575099669.

The spelling of 3956120 in words is "three million, nine hundred fifty-six thousand, one hundred twenty".