3408960 has 112 divisors (see below), whose sum is σ = 11192256. Its totient is φ = 878592.

The previous prime is 3408953. The next prime is 3408973. The reversal of 3408960 is 698043.

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50847 + ... + 50913.

Almost surely, 2^3408960 is an apocalyptic number.

3408960 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 3408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596128).

3408960 is an abundant number, since it is smaller than the sum of its proper divisors (7783296).

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

3408960 is a wasteful number, since it uses less digits than its factorization.

3408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3408960 is about 1846.3369140003. The cubic root of 3408960 is about 150.5014330095.

The spelling of 3408960 in words is "three million, four hundred eight thousand, nine hundred sixty".