3384960 has 128 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 860160.

The previous prime is 3384959. The next prime is 3384961. The reversal of 3384960 is 694833.

It is an interprime number because it is at equal distance from previous prime (3384959) and next prime (3384961).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3384960² = 22915908403200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3384961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78699 + ... + 78741.

Almost surely, 2^3384960 is an apocalyptic number.

3384960 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 3384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).

3384960 is an abundant number, since it is smaller than the sum of its proper divisors (7924800).

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

3384960 is a wasteful number, since it uses less digits than its factorization.

3384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3384960 is about 1839.8260787368. The cubic root of 3384960 is about 150.1474106421.

The spelling of 3384960 in words is "three million, three hundred eighty-four thousand, nine hundred sixty".