3321381888 has 352 divisors, whose sum is σ = 10957509120. Its totient is φ = 985374720.

The previous prime is 3321381859. The next prime is 3321381901. The reversal of 3321381888 is 8881831233.

3321381888 is a `hidden beast` number, since 332 + 138 + 188 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×3321381888² = 22063155291868889088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20376495 + ... + 20376657.

Almost surely, 2^3321381888 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 3321381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478754560).

3321381888 is an abundant number, since it is smaller than the sum of its proper divisors (7636127232).

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

3321381888 is a wasteful number, since it uses less digits than its factorization.

3321381888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 3321381888 is about 57631.4314241803. The cubic root of 3321381888 is about 1492.0141354285.

The spelling of 3321381888 in words is "three billion, three hundred twenty-one million, three hundred eighty-one thousand, eight hundred eighty-eight".