3418998336 has 224 divisors, whose sum is σ = 10963859200. Its totient is φ = 1051439616.

The previous prime is 3418998329. The next prime is 3418998361. The reversal of 3418998336 is 6338998143.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818645 + ... + 1820523.

It is an arithmetic number, because the mean of its divisors is an integer number (48945800).

Almost surely, 2^3418998336 is an apocalyptic number.

3418998336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3418998336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481929600).

3418998336 is an abundant number, since it is smaller than the sum of its proper divisors (7544860864).

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

3418998336 is an equidigital number, since it uses as much as digits as its factorization.

3418998336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1897 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 3418998336 is about 58472.2013951929. The cubic root of 3418998336 is about 1506.4901501337.

The spelling of 3418998336 in words is "three billion, four hundred eighteen million, nine hundred ninety-eight thousand, three hundred thirty-six".