3969120 has 48 divisors (see below), whose sum is σ = 12504240. Its totient is φ = 1058304.

The previous prime is 3969071. The next prime is 3969137. The reversal of 3969120 is 219693.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3655 + ... + 4614.

It is an arithmetic number, because the mean of its divisors is an integer number (260505).

Almost surely, 2^3969120 is an apocalyptic number.

3969120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3969120 is an abundant number, since it is smaller than the sum of its proper divisors (8535120).

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

3969120 is a wasteful number, since it uses less digits than its factorization.

3969120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287 (or 8279 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 3969120 is about 1992.2650426085. The cubic root of 3969120 is about 158.3305582770.

The spelling of 3969120 in words is "three million, nine hundred sixty-nine thousand, one hundred twenty".