34316048734744 has 256 divisors, whose sum is σ = 79041999052800. Its totient is φ = 13651332710400.

The previous prime is 34316048734733. The next prime is 34316048734753. The reversal of 34316048734744 is 44743784061343.

It is a Harshad number since it is a multiple of its sum of digits (58).

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, 4922683179 + ... + 4922690149.

It is an arithmetic number, because the mean of its divisors is an integer number (308757808800).

Almost surely, 2^{34316048734744} 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 34316048734744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39520999526400).

34316048734744 is an abundant number, since it is smaller than the sum of its proper divisors (44725950318056).

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

34316048734744 is a wasteful number, since it uses less digits than its factorization.

34316048734744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 58.

The spelling of 34316048734744 in words is "thirty-four trillion, three hundred sixteen billion, forty-eight million, seven hundred thirty-four thousand, seven hundred forty-four".