3288682944 has 280 divisors, whose sum is σ = 10374569040. Its totient is φ = 1027178496.

The previous prime is 3288682921. The next prime is 3288682949. The reversal of 3288682944 is 4492868823.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288682949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17039712 + ... + 17039904.

Almost surely, 2^3288682944 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 3288682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187284520).

3288682944 is an abundant number, since it is smaller than the sum of its proper divisors (7085886096).

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

3288682944 is a wasteful number, since it uses less digits than its factorization.

3288682944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 390 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 3288682944 is about 57347.0395399797. The cubic root of 3288682944 is about 1487.1016950557.

The spelling of 3288682944 in words is "three billion, two hundred eighty-eight million, six hundred eighty-two thousand, nine hundred forty-four".