3388363328 has 252 divisors, whose sum is σ = 8572047372. Its totient is φ = 1323786240.

The previous prime is 3388363283. The next prime is 3388363351. The reversal of 3388363328 is 8233638833.

It can be written as a sum of positive squares in 2 ways, for example, as 887563264 + 2500800064 = 29792^2 + 50008^2 .

It is a super-2 number, since 2×3388363328² = 22962012085070471168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46415900 + ... + 46415972.

It is an arithmetic number, because the mean of its divisors is an integer number (34016061).

Almost surely, 2^3388363328 is an apocalyptic number.

3388363328 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 3388363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286023686).

3388363328 is an abundant number, since it is smaller than the sum of its proper divisors (5183684044).

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

3388363328 is a wasteful number, since it uses less digits than its factorization.

3388363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 142 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 47.

The square root of 3388363328 is about 58209.6497842067. The cubic root of 3388363328 is about 1501.9771450828.

The spelling of 3388363328 in words is "three billion, three hundred eighty-eight million, three hundred sixty-three thousand, three hundred twenty-eight".