3445668288 has 112 divisors (see below), whose sum is σ = 10155936000. Its totient is φ = 1145574144.

The previous prime is 3445668287. The next prime is 3445668293. The reversal of 3445668288 is 8828665443.

3445668288 is a `hidden beast` number, since 34 + 456 + 6 + 82 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445668287) 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, 721653 + ... + 726411.

It is an arithmetic number, because the mean of its divisors is an integer number (90678000).

Almost surely, 2^3445668288 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 3445668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077968000).

3445668288 is an abundant number, since it is smaller than the sum of its proper divisors (6710267712).

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

3445668288 is a wasteful number, since it uses less digits than its factorization.

3445668288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5183 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 3445668288 is about 58699.8150593339. The cubic root of 3445668288 is about 1510.3971424435.

The spelling of 3445668288 in words is "three billion, four hundred forty-five million, six hundred sixty-eight thousand, two hundred eighty-eight".