3969360 has 120 divisors (see below), whose sum is σ = 13782600. Its totient is φ = 1022976.

The previous prime is 3969349. The next prime is 3969367. The reversal of 3969360 is 639693.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 3549456 = 648^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3969367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26566 + ... + 26714.

It is an arithmetic number, because the mean of its divisors is an integer number (114855).

Almost surely, 2^3969360 is an apocalyptic number.

3969360 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 3969360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891300).

3969360 is an abundant number, since it is smaller than the sum of its proper divisors (9813240).

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

3969360 is a wasteful number, since it uses less digits than its factorization.

3969360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3969360 is about 1992.3252746477. The cubic root of 3969360 is about 158.3337494603. Note that the first 3 decimals are identical.

The spelling of 3969360 in words is "three million, nine hundred sixty-nine thousand, three hundred sixty".