3407740224 has 224 divisors, whose sum is σ = 10767974400. Its totient is φ = 930631680.

The previous prime is 3407740201. The next prime is 3407740261. The reversal of 3407740224 is 4220477043.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3407740224² = 23225386868535140352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3707637 + ... + 3708555.

Almost surely, 2^3407740224 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 3407740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383987200).

3407740224 is an abundant number, since it is smaller than the sum of its proper divisors (7360234176).

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

3407740224 is a wasteful number, since it uses less digits than its factorization.

3407740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 3407740224 is about 58375.8530901262. The cubic root of 3407740224 is about 1504.8348032642.

The spelling of 3407740224 in words is "three billion, four hundred seven million, seven hundred forty thousand, two hundred twenty-four".