3283708896 has 480 divisors, whose sum is σ = 11474749440. Its totient is φ = 911471616.

The previous prime is 3283708861. The next prime is 3283708903. The reversal of 3283708896 is 6988073823.

It is a super-2 number, since 2×3283708896² = 21565488227339077632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 14725041 + ... + 14725263.

It is an arithmetic number, because the mean of its divisors is an integer number (23905728).

Almost surely, 2^3283708896 is an apocalyptic number.

3283708896 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 3283708896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737374720).

3283708896 is an abundant number, since it is smaller than the sum of its proper divisors (8191040544).

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

3283708896 is a wasteful number, since it uses less digits than its factorization.

3283708896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3283708896 is about 57303.6551713763. The cubic root of 3283708896 is about 1486.3515824535.

The spelling of 3283708896 in words is "three billion, two hundred eighty-three million, seven hundred eight thousand, eight hundred ninety-six".