3418129728 has 336 divisors, whose sum is σ = 11183477760. Its totient is φ = 990240768.

The previous prime is 3418129651. The next prime is 3418129787. The reversal of 3418129728 is 8279218143.

It is a happy number.

It is a super-2 number, since 2×3418129728² = 23367221674874707968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15327825 + ... + 15328047.

It is an arithmetic number, because the mean of its divisors is an integer number (33284160).

Almost surely, 2^3418129728 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 3418129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591738880).

3418129728 is an abundant number, since it is smaller than the sum of its proper divisors (7765348032).

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

3418129728 is a wasteful number, since it uses less digits than its factorization.

3418129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 3418129728 is about 58464.7733938993. The cubic root of 3418129728 is about 1506.3625630358.

The spelling of 3418129728 in words is "three billion, four hundred eighteen million, one hundred twenty-nine thousand, seven hundred twenty-eight".