3342271814784 has 1024 divisors, whose sum is σ = 11865021235200. Its totient is φ = 906544742400.

The previous prime is 3342271814773. The next prime is 3342271814789. The reversal of 3342271814784 is 4874181722433.

It is a happy number.

3342271814784 is a `hidden beast` number, since 3 + 3 + 4 + 22 + 71 + 81 + 478 + 4 = 666.

It is a super-2 number, since 2×3342271814784² (a number of 26 digits) contains 22 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 3342271814784.

It is not an unprimeable number, because it can be changed into a prime (3342271814789) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5561184084 + ... + 5561184684.

It is an arithmetic number, because the mean of its divisors is an integer number (11586934800).

Almost surely, 2^{3342271814784} 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 3342271814784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932510617600).

3342271814784 is an abundant number, since it is smaller than the sum of its proper divisors (8522749420416).

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

3342271814784 is a wasteful number, since it uses less digits than its factorization.

3342271814784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 800 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 3342271814784 in words is "three trillion, three hundred forty-two billion, two hundred seventy-one million, eight hundred fourteen thousand, seven hundred eighty-four".