34529864329728 has 640 divisors, whose sum is σ = 115850870784000. Its totient is φ = 10088724234240.

The previous prime is 34529864329663. The next prime is 34529864329729. The reversal of 34529864329728 is 82792346892543.

34529864329728 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 9 + 86 + 432 + 97 + 28 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (34529864329729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263378433 + ... + 263509503.

It is an arithmetic number, because the mean of its divisors is an integer number (181016985600).

Almost surely, 2^{34529864329728} is an apocalyptic number.

34529864329728 is a gapful number since it is divisible by the number (38) 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 34529864329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57925435392000).

34529864329728 is an abundant number, since it is smaller than the sum of its proper divisors (81321006454272).

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

34529864329728 is a wasteful number, since it uses less digits than its factorization.

34529864329728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131193 (or 131171 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 34529864329728 in words is "thirty-four trillion, five hundred twenty-nine billion, eight hundred sixty-four million, three hundred twenty-nine thousand, seven hundred twenty-eight".