3321888768 has 156 divisors (see below), whose sum is σ = 10468982628. Its totient is φ = 1006632960.

The previous prime is 3321888767. The next prime is 3321888797. The reversal of 3321888768 is 8678881233.

It is a super-2 number, since 2×3321888768² = 22069889973929115648, which contains 22 as substring.

Its product of digits (3096576) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321888767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 301989883 + ... + 301989893.

It is an arithmetic number, because the mean of its divisors is an integer number (67108863).

Almost surely, 2^3321888768 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 3321888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234491314).

3321888768 is an abundant number, since it is smaller than the sum of its proper divisors (7147093860).

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

3321888768 is an frugal number, since it uses more digits than its factorization.

3321888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 16 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 3321888768 is about 57635.8288567103. The cubic root of 3321888768 is about 1492.0900309124.

The spelling of 3321888768 in words is "three billion, three hundred twenty-one million, eight hundred eighty-eight thousand, seven hundred sixty-eight".