3909120 has 80 divisors (see below), whose sum is σ = 12521520. Its totient is φ = 1040384.

The previous prime is 3909107. The next prime is 3909127. The reversal of 3909120 is 219093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3909127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7426 + ... + 7934.

It is an arithmetic number, because the mean of its divisors is an integer number (156519).

Almost surely, 2^3909120 is an apocalyptic number.

3909120 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 3909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260760).

3909120 is an abundant number, since it is smaller than the sum of its proper divisors (8612400).

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

3909120 is an equidigital number, since it uses as much as digits as its factorization.

3909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 3909120 is about 1977.1494632425. The cubic root of 3909120 is about 157.5286921776.

The spelling of 3909120 in words is "three million, nine hundred nine thousand, one hundred twenty".