3388388864 has 160 divisors (see below), whose sum is σ = 8626590720. Its totient is φ = 1294368768.

The previous prime is 3388388761. The next prime is 3388388869. The reversal of 3388388864 is 4688838833.

It is a super-2 number, since 2×3388388864² = 22962358187358420992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388388869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156169 + ... + 1159095.

It is an arithmetic number, because the mean of its divisors is an integer number (53916192).

Almost surely, 2^3388388864 is an apocalyptic number.

3388388864 is a gapful number since it is divisible by the number (34) 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 3388388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313295360).

3388388864 is an abundant number, since it is smaller than the sum of its proper divisors (5238201856).

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

3388388864 is a wasteful number, since it uses less digits than its factorization.

3388388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2972 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 59.

The square root of 3388388864 is about 58209.8691288685. The cubic root of 3388388864 is about 1501.9809182311.

The spelling of 3388388864 in words is "three billion, three hundred eighty-eight million, three hundred eighty-eight thousand, eight hundred sixty-four".