3328075296 has 288 divisors, whose sum is σ = 12162286080. Its totient is φ = 877588992.

The previous prime is 3328075279. The next prime is 3328075313. The reversal of 3328075296 is 6925708233.

It is an interprime number because it is at equal distance from previous prime (3328075279) and next prime (3328075313).

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

It is a super-2 number, since 2×3328075296² = 22152170351690975232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547345 + ... + 553391.

It is an arithmetic number, because the mean of its divisors is an integer number (42230160).

Almost surely, 2^3328075296 is an apocalyptic number.

3328075296 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 3328075296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081143040).

3328075296 is an abundant number, since it is smaller than the sum of its proper divisors (8834210784).

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

3328075296 is a wasteful number, since it uses less digits than its factorization.

3328075296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3328075296 is about 57689.4730085134. The cubic root of 3328075296 is about 1493.0157223840.

The spelling of 3328075296 in words is "three billion, three hundred twenty-eight million, seventy-five thousand, two hundred ninety-six".