3384084 has 48 divisors (see below), whose sum is σ = 8902656. Its totient is φ = 991200.

The previous prime is 3384049. The next prime is 3384119. The reversal of 3384084 is 4804833.

It is an interprime number because it is at equal distance from previous prime (3384049) and next prime (3384119).

It is a super-2 number, since 2×3384084² = 22904049038112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 3679 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (185472).

Almost surely, 2^3384084 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 3384084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451328).

3384084 is an abundant number, since it is smaller than the sum of its proper divisors (5518572).

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

3384084 is a wasteful number, since it uses less digits than its factorization.

3384084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3384084 is about 1839.5879973516. The cubic root of 3384084 is about 150.1344572168.

It can be divided in two parts, 33 and 84084, that multiplied together give a palindrome (2774772).

The spelling of 3384084 in words is "three million, three hundred eighty-four thousand, eighty-four".