3405114286912 has 168 divisors, whose sum is σ = 7591288522752. Its totient is φ = 1513145088000.

The previous prime is 3405114286883. The next prime is 3405114286949. The reversal of 3405114286912 is 2196824115043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66027537 + ... + 66079087.

Almost surely, 2^{3405114286912} is an apocalyptic number.

3405114286912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405114286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795644261376).

3405114286912 is an abundant number, since it is smaller than the sum of its proper divisors (4186174235840).

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

3405114286912 is a wasteful number, since it uses less digits than its factorization.

3405114286912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51817 (or 51794 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 3405114286912 in words is "three trillion, four hundred five billion, one hundred fourteen million, two hundred eighty-six thousand, nine hundred twelve".