3417984 has 128 divisors (see below), whose sum is σ = 10771200. Its totient is φ = 1064448.

The previous prime is 3417977. The next prime is 3418001. The reversal of 3417984 is 4897143.

It is a happy number.

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

It is a super-2 number, since 2×3417984² = 23365229248512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79467 + ... + 79509.

It is an arithmetic number, because the mean of its divisors is an integer number (84150).

Almost surely, 2^3417984 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 3417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385600).

3417984 is an abundant number, since it is smaller than the sum of its proper divisors (7353216).

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

3417984 is a wasteful number, since it uses less digits than its factorization.

3417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3417984 is about 1848.7790565668. The cubic root of 3417984 is about 150.6341155391.

The spelling of 3417984 in words is "three million, four hundred seventeen thousand, nine hundred eighty-four".