3949120 has 112 divisors (see below), whose sum is σ = 11265408. Its totient is φ = 1290240.

The previous prime is 3949111. The next prime is 3949147. The reversal of 3949120 is 219493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91819 + ... + 91861.

It is an arithmetic number, because the mean of its divisors is an integer number (100584).

Almost surely, 2^3949120 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 3949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632704).

3949120 is an abundant number, since it is smaller than the sum of its proper divisors (7316288).

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

3949120 is a wasteful number, since it uses less digits than its factorization.

3949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 3949120 is about 1987.2392910769. The cubic root of 3949120 is about 158.0641730454.

The spelling of 3949120 in words is "three million, nine hundred forty-nine thousand, one hundred twenty".