3381713328 has 320 divisors, whose sum is σ = 10950410240. Its totient is φ = 877879296.

The previous prime is 3381713323. The next prime is 3381713329. The reversal of 3381713328 is 8233171833.

It is a happy number.

It is a super-2 number, since 2×3381713328² = 22871970065545671168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3381713323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26627601 + ... + 26627727.

It is an arithmetic number, because the mean of its divisors is an integer number (34220032).

Almost surely, 2^3381713328 is an apocalyptic number.

3381713328 is a gapful number since it is divisible by the number (38) 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 3381713328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475205120).

3381713328 is an abundant number, since it is smaller than the sum of its proper divisors (7568696912).

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

3381713328 is a wasteful number, since it uses less digits than its factorization.

3381713328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3381713328 is about 58152.5006169124. The cubic root of 3381713328 is about 1500.9939083964.

The spelling of 3381713328 in words is "three billion, three hundred eighty-one million, seven hundred thirteen thousand, three hundred twenty-eight".