2734347363000 has 256 divisors, whose sum is σ = 9309171456000. Its totient is φ = 662697792000.

The previous prime is 2734347362953. The next prime is 2734347363029. The reversal of 2734347363000 is 3637434372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161988561 + ... + 162005439.

It is an arithmetic number, because the mean of its divisors is an integer number (36363951000).

Almost surely, 2^{2734347363000} is an apocalyptic number.

2734347363000 is a gapful number since it is divisible by the number (20) 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 2734347363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654585728000).

2734347363000 is an abundant number, since it is smaller than the sum of its proper divisors (6574824093000).

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

2734347363000 is a wasteful number, since it uses less digits than its factorization.

2734347363000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21823 (or 21809 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 42.

The spelling of 2734347363000 in words is "two trillion, seven hundred thirty-four billion, three hundred forty-seven million, three hundred sixty-three thousand".