3314814847344 has 320 divisors, whose sum is σ = 12775045678080. Its totient is φ = 794760698880.

The previous prime is 3314814847321. The next prime is 3314814847349. The reversal of 3314814847344 is 4437484184133.

3314814847344 is a `hidden beast` number, since 3 + 3 + 14 + 81 + 48 + 473 + 44 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314814847349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3400327 + ... + 4265190.

It is an arithmetic number, because the mean of its divisors is an integer number (39922017744).

Almost surely, 2^{3314814847344} is an apocalyptic number.

It is an amenable number.

3314814847344 is an abundant number, since it is smaller than the sum of its proper divisors (9460230830736).

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

3314814847344 is a wasteful number, since it uses less digits than its factorization.

3314814847344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665565 (or 7665553 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 3314814847344 in words is "three trillion, three hundred fourteen billion, eight hundred fourteen million, eight hundred forty-seven thousand, three hundred forty-four".