34521072664032 has 216 divisors, whose sum is σ = 106423974539064. Its totient is φ = 11006717508864.

The previous prime is 34521072664021. The next prime is 34521072664069. The reversal of 34521072664032 is 23046627012543.

34521072664032 is a `hidden beast` number, since 3 + 4 + 5 + 210 + 7 + 26 + 6 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82563 + ... + 8309570.

It is an arithmetic number, because the mean of its divisors is an integer number (492703585829).

Almost surely, 2^{34521072664032} is an apocalyptic number.

34521072664032 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 34521072664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53211987269532).

34521072664032 is an abundant number, since it is smaller than the sum of its proper divisors (71902901875032).

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

34521072664032 is an equidigital number, since it uses as much as digits as its factorization.

34521072664032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392204 (or 8392161 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 34521072664032 its reverse (23046627012543), we get a palindrome (57567699676575).

The spelling of 34521072664032 in words is "thirty-four trillion, five hundred twenty-one billion, seventy-two million, six hundred sixty-four thousand, thirty-two".