3291609888 has 216 divisors, whose sum is σ = 11156303340. Its totient is φ = 917360640.

The previous prime is 3291609877. The next prime is 3291609907. The reversal of 3291609888 is 8889061923.

It is a happy number.

3291609888 is a `hidden beast` number, since 3 + 29 + 1 + 609 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3291546384 + 63504 = 57372^2 + 252^2 .

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, 575748 + ... + 581436.

Almost surely, 2^3291609888 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 3291609888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578151670).

3291609888 is an abundant number, since it is smaller than the sum of its proper divisors (7864693452).

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

3291609888 is a wasteful number, since it uses less digits than its factorization.

3291609888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 3291609888 is about 57372.5534380334. The cubic root of 3291609888 is about 1487.5427401791.

The spelling of 3291609888 in words is "three billion, two hundred ninety-one million, six hundred nine thousand, eight hundred eighty-eight".