3330414304 has 48 divisors (see below), whose sum is σ = 7510956768. Its totient is φ = 1423982592.

The previous prime is 3330414301. The next prime is 3330414331. The reversal of 3330414304 is 4034140333.

It is a super-2 number, since 2×3330414304² = 22183318872575608832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330414301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79824 + ... + 114160.

It is an arithmetic number, because the mean of its divisors is an integer number (156478266).

Almost surely, 2^3330414304 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 3330414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755478384).

3330414304 is an abundant number, since it is smaller than the sum of its proper divisors (4180542464).

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

3330414304 is a wasteful number, since it uses less digits than its factorization.

3330414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34787 (or 34779 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 3330414304 is about 57709.7418465895. The cubic root of 3330414304 is about 1493.3654097773.

Adding to 3330414304 its reverse (4034140333), we get a palindrome (7364554637).

The spelling of 3330414304 in words is "three billion, three hundred thirty million, four hundred fourteen thousand, three hundred four".