3314134312320 has 128 divisors (see below), whose sum is σ = 11376403446240. Its totient is φ = 815786901504.

The previous prime is 3314134312297. The next prime is 3314134312327. The reversal of 3314134312320 is 232134314133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314134312327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66363949 + ... + 66413868.

Almost surely, 2^{3314134312320} is an apocalyptic number.

3314134312320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3314134312320 is an abundant number, since it is smaller than the sum of its proper divisors (8062269133920).

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

3314134312320 is a wasteful number, since it uses less digits than its factorization.

3314134312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132777852 (or 132777840 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 3314134312320 its reverse (232134314133), we get a palindrome (3546268626453).

The spelling of 3314134312320 in words is "three trillion, three hundred fourteen billion, one hundred thirty-four million, three hundred twelve thousand, three hundred twenty".