3293890688 has 64 divisors (see below), whose sum is σ = 7276141440. Its totient is φ = 1472640000.

The previous prime is 3293890681. The next prime is 3293890703. The reversal of 3293890688 is 8860983923.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3293890688³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3293890681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66713 + ... + 105063.

It is an arithmetic number, because the mean of its divisors is an integer number (113689710).

Almost surely, 2^3293890688 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 3293890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638070720).

3293890688 is an abundant number, since it is smaller than the sum of its proper divisors (3982250752).

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

3293890688 is a wasteful number, since it uses less digits than its factorization.

3293890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38437 (or 38425 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The square root of 3293890688 is about 57392.4270962642. The cubic root of 3293890688 is about 1487.8862401951.

The spelling of 3293890688 in words is "three billion, two hundred ninety-three million, eight hundred ninety thousand, six hundred eighty-eight".