3418364300960 has 192 divisors, whose sum is σ = 9536852183040. Its totient is φ = 1133068124160.

The previous prime is 3418364300959. The next prime is 3418364300977. The reversal of 3418364300960 is 690034638143.

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, 34983692 + ... + 35081268.

It is an arithmetic number, because the mean of its divisors is an integer number (49671105120).

Almost surely, 2^{3418364300960} 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 3418364300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768426091520).

3418364300960 is an abundant number, since it is smaller than the sum of its proper divisors (6118487882080).

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

3418364300960 is a wasteful number, since it uses less digits than its factorization.

3418364300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98639 (or 98631 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The spelling of 3418364300960 in words is "three trillion, four hundred eighteen billion, three hundred sixty-four million, three hundred thousand, nine hundred sixty".