34329798252288 has 3456 divisors, whose sum is σ = 138898712494080. Its totient is φ = 8169851289600.

The previous prime is 34329798252263. The next prime is 34329798252307. The reversal of 34329798252288 is 88225289792343.

It is a happy number.

34329798252288 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 9 + 7 + 98 + 2 + 522 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 413612027095 + ... + 413612027177.

It is an arithmetic number, because the mean of its divisors is an integer number (40190599680).

Almost surely, 2^{34329798252288} 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 34329798252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69449356247040).

34329798252288 is an abundant number, since it is smaller than the sum of its proper divisors (104568914241792).

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

34329798252288 is a wasteful number, since it uses less digits than its factorization.

34329798252288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 233 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

It can be divided in two parts, 34329798 and 252288, that added together give a triangular number (34582086 = T₈₃₁₆).

The spelling of 34329798252288 in words is "thirty-four trillion, three hundred twenty-nine billion, seven hundred ninety-eight million, two hundred fifty-two thousand, two hundred eighty-eight".