34521541504 has 64 divisors (see below), whose sum is σ = 72989812800. Its totient is φ = 16207298560.

The previous prime is 34521541489. The next prime is 34521541511. The reversal of 34521541504 is 40514512543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 34521541504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 919452 + ... + 956260.

It is an arithmetic number, because the mean of its divisors is an integer number (1140465825).

Almost surely, 2^34521541504 is an apocalyptic number.

34521541504 is a gapful number since it is divisible by the number (34) 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 34521541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36494906400).

34521541504 is an abundant number, since it is smaller than the sum of its proper divisors (38468271296).

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

34521541504 is a wasteful number, since it uses less digits than its factorization.

34521541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37271 (or 37259 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 34521541504 in words is "thirty-four billion, five hundred twenty-one million, five hundred forty-one thousand, five hundred four".