3314879334144 has 2160 divisors, whose sum is σ = 12992226508800. Its totient is φ = 833985331200.

The previous prime is 3314879334133. The next prime is 3314879334161. The reversal of 3314879334144 is 4414339784133.

3314879334144 is a `hidden beast` number, since 3 + 3 + 1 + 487 + 93 + 34 + 1 + 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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17355389089 + ... + 17355389279.

It is an arithmetic number, because the mean of its divisors is an integer number (6014919680).

Almost surely, 2^{3314879334144} 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 3314879334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496113254400).

3314879334144 is an abundant number, since it is smaller than the sum of its proper divisors (9677347174656).

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

3314879334144 is a wasteful number, since it uses less digits than its factorization.

3314879334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 282 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 3314879334144 in words is "three trillion, three hundred fourteen billion, eight hundred seventy-nine million, three hundred thirty-four thousand, one hundred forty-four".