3418008482304 has 1440 divisors, whose sum is σ = 11933908930944. Its totient is φ = 969608724480.

The previous prime is 3418008482297. The next prime is 3418008482323. The reversal of 3418008482304 is 4032848008143.

It is a happy number.

It is a super-2 number, since 2×3418008482304² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3418008482304.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41180825047 + ... + 41180825129.

Almost surely, 2^{3418008482304} 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 3418008482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966954465472).

3418008482304 is an abundant number, since it is smaller than the sum of its proper divisors (8515900448640).

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

3418008482304 is an frugal number, since it uses more digits than its factorization.

3418008482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 3418008482304 in words is "three trillion, four hundred eighteen billion, eight million, four hundred eighty-two thousand, three hundred four".