3302428896 has 288 divisors, whose sum is σ = 10527989472. Its totient is φ = 975421440.

The previous prime is 3302428867. The next prime is 3302428933. The reversal of 3302428896 is 6988242033.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3302428896² = 21812073226271557632, 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11752276 + ... + 11752556.

It is an arithmetic number, because the mean of its divisors is an integer number (36555519).

Almost surely, 2^3302428896 is an apocalyptic number.

3302428896 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 3302428896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263994736).

3302428896 is an abundant number, since it is smaller than the sum of its proper divisors (7225560576).

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

3302428896 is a wasteful number, since it uses less digits than its factorization.

3302428896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3302428896 is about 57466.7634028575. The cubic root of 3302428896 is about 1489.1707314404.

The spelling of 3302428896 in words is "three billion, three hundred two million, four hundred twenty-eight thousand, eight hundred ninety-six".