3382727688 has 72 divisors (see below), whose sum is σ = 9466815150. Its totient is φ = 1091180160.

The previous prime is 3382727687. The next prime is 3382727717. The reversal of 3382727688 is 8867272833.

It can be written as a sum of positive squares in only one way, i.e., 2770759044 + 611968644 = 52638^2 + 24738^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3382727688² = 22885693222323650688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3382727683) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44748 + ... + 93636.

Almost surely, 2^3382727688 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 3382727688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733407575).

3382727688 is an abundant number, since it is smaller than the sum of its proper divisors (6084087462).

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

3382727688 is a wasteful number, since it uses less digits than its factorization.

3382727688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48963 (or 48925 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 3382727688 is about 58161.2215139950. The cubic root of 3382727688 is about 1501.1439700000.

The spelling of 3382727688 in words is "three billion, three hundred eighty-two million, seven hundred twenty-seven thousand, six hundred eighty-eight".