34221874752 has 672 divisors, whose sum is σ = 117426516480. Its totient is φ = 9431285760.

The previous prime is 34221874751. The next prime is 34221874807. The reversal of 34221874752 is 25747812243.

34221874752 is a `hidden beast` number, since 3 + 422 + 187 + 47 + 5 + 2 = 666.

It is a super-2 number, since 2×34221874752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34221874698 and 34221874707.

It is not an unprimeable number, because it can be changed into a prime (34221874751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412311703 + ... + 412311785.

It is an arithmetic number, because the mean of its divisors is an integer number (174741840).

Almost surely, 2^34221874752 is an apocalyptic number.

34221874752 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 34221874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58713258240).

34221874752 is an abundant number, since it is smaller than the sum of its proper divisors (83204641728).

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

34221874752 is a wasteful number, since it uses less digits than its factorization.

34221874752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 34221874752 in words is "thirty-four billion, two hundred twenty-one million, eight hundred seventy-four thousand, seven hundred fifty-two".