34522519680 has 1024 divisors, whose sum is σ = 143354880000. Its totient is φ = 7828254720.

The previous prime is 34522519663. The next prime is 34522519709. The reversal of 34522519680 is 8691522543.

34522519680 is a `hidden beast` number, since 3 + 4 + 52 + 2 + 519 + 6 + 80 = 666.

It is a super-3 number, since 3×34522519680³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 436993881 + ... + 436993959.

It is an arithmetic number, because the mean of its divisors is an integer number (139995000).

Almost surely, 2^34522519680 is an apocalyptic number.

34522519680 is a gapful number since it is divisible by the number (30) 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 34522519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71677440000).

34522519680 is an abundant number, since it is smaller than the sum of its proper divisors (108832360320).

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

34522519680 is a wasteful number, since it uses less digits than its factorization.

34522519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 34522519680 in words is "thirty-four billion, five hundred twenty-two million, five hundred nineteen thousand, six hundred eighty".