3414786874144 has 96 divisors (see below), whose sum is σ = 7058608292736. Its totient is φ = 1623056117760.

The previous prime is 3414786874139. The next prime is 3414786874181. The reversal of 3414786874144 is 4414786874143.

It is a super-3 number, since 3×3414786874144³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222063384 + ... + 222078760.

It is an arithmetic number, because the mean of its divisors is an integer number (73527169716).

Almost surely, 2^{3414786874144} 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 3414786874144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529304146368).

3414786874144 is an abundant number, since it is smaller than the sum of its proper divisors (3643821418592).

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

3414786874144 is a wasteful number, since it uses less digits than its factorization.

3414786874144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17258 (or 17250 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 61.

Subtracting 3414786874144 from its reverse (4414786874143), we obtain a palindrome (999999999999).

The spelling of 3414786874144 in words is "three trillion, four hundred fourteen billion, seven hundred eighty-six million, eight hundred seventy-four thousand, one hundred forty-four".