3930920 has 64 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 1324800.

The previous prime is 3930919. The next prime is 3930923. The reversal of 3930920 is 290393.

It is a self number, because there is not a number n which added to its sum of digits gives 3930920.

It is not an unprimeable number, because it can be changed into a prime (3930923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28211 + ... + 28349.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^3930920 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 3930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

3930920 is an abundant number, since it is smaller than the sum of its proper divisors (6350680).

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

3930920 is a wasteful number, since it uses less digits than its factorization.

3930920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 3930920 is about 1982.6547858868. The cubic root of 3930920 is about 157.8209797424.

The spelling of 3930920 in words is "three million, nine hundred thirty thousand, nine hundred twenty".