3912960 has 72 divisors (see below), whose sum is σ = 12509280. Its totient is φ = 1042432.

The previous prime is 3912959. The next prime is 3912973. The reversal of 3912960 is 692193.

It is a super-2 number, since 2×3912960² = 30622511923200, which contains 22 as substring.

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, 3331 + ... + 4349.

It is an arithmetic number, because the mean of its divisors is an integer number (173740).

Almost surely, 2^3912960 is an apocalyptic number.

3912960 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 3912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254640).

3912960 is an abundant number, since it is smaller than the sum of its proper divisors (8596320).

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

3912960 is a wasteful number, since it uses less digits than its factorization.

3912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1029 counting only the distinct ones).

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

The square root of 3912960 is about 1978.1203198997. The cubic root of 3912960 is about 157.5802564014.

The spelling of 3912960 in words is "three million, nine hundred twelve thousand, nine hundred sixty".