34768611072 has 576 divisors, whose sum is σ = 119108949120. Its totient is φ = 10032906240.

The previous prime is 34768611041. The next prime is 34768611103. The reversal of 34768611072 is 27011686743.

It is an interprime number because it is at equal distance from previous prime (34768611041) and next prime (34768611103).

It is a tau number, because it is divible by the number of its divisors (576).

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, 123731572 + ... + 123731852.

It is an arithmetic number, because the mean of its divisors is an integer number (206786370).

Almost surely, 2^34768611072 is an apocalyptic number.

34768611072 is a gapful number since it is divisible by the number (32) 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 34768611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59554474560).

34768611072 is an abundant number, since it is smaller than the sum of its proper divisors (84340338048).

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

34768611072 is an equidigital number, since it uses as much as digits as its factorization.

34768611072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 34768611072 in words is "thirty-four billion, seven hundred sixty-eight million, six hundred eleven thousand, seventy-two".