3454114272000 has 1152 divisors, whose sum is σ = 14086136064000. Its totient is φ = 747823104000.

The previous prime is 3454114271977. The next prime is 3454114272017. The reversal of 3454114272000 is 2724114543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 625629240 + ... + 625634760.

Almost surely, 2^{3454114272000} is an apocalyptic number.

3454114272000 is a gapful number since it is divisible by the number (30) 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 3454114272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043068032000).

3454114272000 is an abundant number, since it is smaller than the sum of its proper divisors (10632021792000).

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

3454114272000 is an equidigital number, since it uses as much as digits as its factorization.

3454114272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5557 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 3454114272000 its reverse (2724114543), we get a palindrome (3456838386543).

The spelling of 3454114272000 in words is "three trillion, four hundred fifty-four billion, one hundred fourteen million, two hundred seventy-two thousand".