3418242048 has 264 divisors, whose sum is σ = 10771281248. Its totient is φ = 1037795328.

The previous prime is 3418242017. The next prime is 3418242053. The reversal of 3418242048 is 8402428143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12340086 + ... + 12340362.

Almost surely, 2^3418242048 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 3418242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385640624).

3418242048 is an abundant number, since it is smaller than the sum of its proper divisors (7353039200).

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

3418242048 is a wasteful number, since it uses less digits than its factorization.

3418242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 3418242048 is about 58465.7339644342. The cubic root of 3418242048 is about 1506.3790625841.

The spelling of 3418242048 in words is "three billion, four hundred eighteen million, two hundred forty-two thousand, forty-eight".