3354049728 has 224 divisors, whose sum is σ = 10111435200. Its totient is φ = 1089994752.

The previous prime is 3354049717. The next prime is 3354049733. The reversal of 3354049728 is 8279404533.

3354049728 is a `hidden beast` number, since 33 + 540 + 4 + 9 + 72 + 8 = 666.

It is a super-2 number, since 2×3354049728² = 22499299155793747968, which contains 22 as substring.

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, 17378400 + ... + 17378592.

Almost surely, 2^3354049728 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 3354049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055717600).

3354049728 is an abundant number, since it is smaller than the sum of its proper divisors (6757385472).

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

3354049728 is a wasteful number, since it uses less digits than its factorization.

3354049728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3354049728 is about 57914.1582689415. The cubic root of 3354049728 is about 1496.8898116093.

The spelling of 3354049728 in words is "three billion, three hundred fifty-four million, forty-nine thousand, seven hundred twenty-eight".