3418728768 has 280 divisors, whose sum is σ = 12474561792. Its totient is φ = 901518336.

The previous prime is 3418728751. The next prime is 3418728779. The reversal of 3418728768 is 8678278143.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 468121 + ... + 475367.

Almost surely, 2^3418728768 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 3418728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237280896).

3418728768 is an abundant number, since it is smaller than the sum of its proper divisors (9055833024).

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

3418728768 is a wasteful number, since it uses less digits than its factorization.

3418728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7291 (or 7272 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 3418728768 is about 58469.8962543974. The cubic root of 3418728768 is about 1506.4505564505.

The spelling of 3418728768 in words is "three billion, four hundred eighteen million, seven hundred twenty-eight thousand, seven hundred sixty-eight".