3956920 has 96 divisors (see below), whose sum is σ = 10750320. Its totient is φ = 1295360.

The previous prime is 3956917. The next prime is 3956941. The reversal of 3956920 is 296593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172029 + ... + 172051.

Almost surely, 2^3956920 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 3956920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375160).

3956920 is an abundant number, since it is smaller than the sum of its proper divisors (6793400).

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

3956920 is a wasteful number, since it uses less digits than its factorization.

3956920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 3956920 is about 1989.2008445604. The cubic root of 3956920 is about 158.1681700312.

The spelling of 3956920 in words is "three million, nine hundred fifty-six thousand, nine hundred twenty".