3414384 has 60 divisors (see below), whose sum is σ = 9681672. Its totient is φ = 1123200.

The previous prime is 3414379. The next prime is 3414391. The reversal of 3414384 is 4834143.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18774 + ... + 18954.

Almost surely, 2^3414384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840836).

3414384 is an abundant number, since it is smaller than the sum of its proper divisors (6267288).

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

3414384 is a wasteful number, since it uses less digits than its factorization.

3414384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3414384 is about 1847.8051845365. The cubic root of 3414384 is about 150.5812117109.

The spelling of 3414384 in words is "three million, four hundred fourteen thousand, three hundred eighty-four".