3956580 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 990720.

The previous prime is 3956569. The next prime is 3956581. The reversal of 3956580 is 856593.

3956580 = T₁₇₀ + T₁₇₁ + ... + T₃₀₅.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3956581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8965 + ... + 9395.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^3956580 is an apocalyptic number.

3956580 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 3956580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3956580 is an abundant number, since it is smaller than the sum of its proper divisors (9107100).

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

3956580 is a wasteful number, since it uses less digits than its factorization.

3956580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3956580 is about 1989.1153812688. The cubic root of 3956580 is about 158.1636396794.

The spelling of 3956580 in words is "three million, nine hundred fifty-six thousand, five hundred eighty".