3418275760320 has 224 divisors, whose sum is σ = 11418217626816. Its totient is φ = 865271808000.

The previous prime is 3418275760309. The next prime is 3418275760327. The reversal of 3418275760320 is 230675728143.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3418275760320.

It is not an unprimeable number, because it can be changed into a prime (3418275760327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282720 + ... + 2629920.

It is an arithmetic number, because the mean of its divisors is an integer number (50974185834).

Almost surely, 2^{3418275760320} is an apocalyptic number.

3418275760320 is a gapful number since it is divisible by the number (30) 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 3418275760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709108813408).

3418275760320 is an abundant number, since it is smaller than the sum of its proper divisors (7999941866496).

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

3418275760320 is a wasteful number, since it uses less digits than its factorization.

3418275760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347299 (or 2347289 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 3418275760320 in words is "three trillion, four hundred eighteen billion, two hundred seventy-five million, seven hundred sixty thousand, three hundred twenty".