3364416 has 140 divisors (see below), whose sum is σ = 11064240. Its totient is φ = 1002240.

The previous prime is 3364409. The next prime is 3364421. The reversal of 3364416 is 6144633.

3364416 is a `hidden beast` number, since 3 + 3 + 644 + 16 = 666.

It is a super-2 number, since 2×3364416² = 22638590042112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3364416.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56995 + ... + 57053.

Almost surely, 2^3364416 is an apocalyptic number.

3364416 is a gapful number since it is divisible by the number (36) 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 3364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532120).

3364416 is an abundant number, since it is smaller than the sum of its proper divisors (7699824).

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

3364416 is a wasteful number, since it uses less digits than its factorization.

3364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3364416 is about 1834.2344452114. The cubic root of 3364416 is about 149.8430358056.

The spelling of 3364416 in words is "three million, three hundred sixty-four thousand, four hundred sixteen".