3418322688 has 144 divisors (see below), whose sum is σ = 11027788800. Its totient is φ = 1035832320.

The previous prime is 3418322681. The next prime is 3418322689. The reversal of 3418322688 is 8862238143.

3418322688 is a `hidden beast` number, since 3 + 418 + 3 + 226 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (3418322681) 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, 53553 + ... + 98511.

Almost surely, 2^3418322688 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 3418322688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513894400).

3418322688 is an abundant number, since it is smaller than the sum of its proper divisors (7609466112).

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

3418322688 is a wasteful number, since it uses less digits than its factorization.

3418322688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44995 (or 44975 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3418322688 is about 58466.4235950858. The cubic root of 3418322688 is about 1506.3909081908.

The spelling of 3418322688 in words is "three billion, four hundred eighteen million, three hundred twenty-two thousand, six hundred eighty-eight".