3388105728 has 264 divisors, whose sum is σ = 11572591680. Its totient is φ = 934133760.

The previous prime is 3388105727. The next prime is 3388105759. The reversal of 3388105728 is 8275018833.

It is a super-2 number, since 2×3388105728² = 22958520848212819968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388105727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1869943 + ... + 1871753.

Almost surely, 2^3388105728 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 3388105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786295840).

3388105728 is an abundant number, since it is smaller than the sum of its proper divisors (8184485952).

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

3388105728 is a wasteful number, since it uses less digits than its factorization.

3388105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 3388105728 is about 58207.4370506038. The cubic root of 3388105728 is about 1501.9390815616.

It can be divided in two parts, 3388105 and 728, that added together give a palindrome (3388833).

The spelling of 3388105728 in words is "three billion, three hundred eighty-eight million, one hundred five thousand, seven hundred twenty-eight".