34868813056 has 288 divisors, whose sum is σ = 90531866880. Its totient is φ = 13005619200.

The previous prime is 34868813039. The next prime is 34868813059. The reversal of 34868813056 is 65031886843.

It is a junction number, because it is equal to n+sod(n) for n = 34868812994 and 34868813012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34868813059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103468120 + ... + 103468456.

It is an arithmetic number, because the mean of its divisors is an integer number (314346760).

Almost surely, 2^34868813056 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 34868813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45265933440).

34868813056 is an abundant number, since it is smaller than the sum of its proper divisors (55663053824).

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

34868813056 is a wasteful number, since it uses less digits than its factorization.

34868813056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 34868813056 in words is "thirty-four billion, eight hundred sixty-eight million, eight hundred thirteen thousand, fifty-six".