34036424642256 has 80 divisors (see below), whose sum is σ = 88058897203200. Its totient is φ = 11328517177344.

The previous prime is 34036424642251. The next prime is 34036424642261. The reversal of 34036424642256 is 65224642463043.

It is an interprime number because it is at equal distance from previous prime (34036424642251) and next prime (34036424642261).

It is a junction number, because it is equal to n+sod(n) for n = 34036424642199 and 34036424642208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34036424642251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195435825 + ... + 195609903.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736215040).

Almost surely, 2^{34036424642256} is an apocalyptic number.

It is an amenable number.

34036424642256 is an abundant number, since it is smaller than the sum of its proper divisors (54022472560944).

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

34036424642256 is a wasteful number, since it uses less digits than its factorization.

34036424642256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180156 (or 180150 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 51.

The spelling of 34036424642256 in words is "thirty-four trillion, thirty-six billion, four hundred twenty-four million, six hundred forty-two thousand, two hundred fifty-six".