34029568352 has 96 divisors (see below), whose sum is σ = 74027247840. Its totient is φ = 15298375680.

The previous prime is 34029568337. The next prime is 34029568361. The reversal of 34029568352 is 25386592043.

It is a junction number, because it is equal to n+sod(n) for n = 34029568297 and 34029568306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14547599 + ... + 14549937.

It is an arithmetic number, because the mean of its divisors is an integer number (771117165).

Almost surely, 2^34029568352 is an apocalyptic number.

34029568352 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 34029568352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013623920).

34029568352 is an abundant number, since it is smaller than the sum of its proper divisors (39997679488).

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

34029568352 is a wasteful number, since it uses less digits than its factorization.

34029568352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 34029568352 in words is "thirty-four billion, twenty-nine million, five hundred sixty-eight thousand, three hundred fifty-two".