3338322768 has 160 divisors (see below), whose sum is σ = 10676459520. Its totient is φ = 990023040.

The previous prime is 3338322763. The next prime is 3338322769. The reversal of 3338322768 is 8672238333.

3338322768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3338322768² = 22288797806694363648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3338322763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215871 + ... + 230817.

It is an arithmetic number, because the mean of its divisors is an integer number (66727872).

Almost surely, 2^3338322768 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 3338322768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338229760).

3338322768 is an abundant number, since it is smaller than the sum of its proper divisors (7338136752).

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

3338322768 is a wasteful number, since it uses less digits than its factorization.

3338322768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15022 (or 15010 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3338322768 is about 57778.2205333463. The cubic root of 3338322768 is about 1494.5465331608.

The spelling of 3338322768 in words is "three billion, three hundred thirty-eight million, three hundred twenty-two thousand, seven hundred sixty-eight".