34021134576 has 240 divisors, whose sum is σ = 113531483520. Its totient is φ = 9373985280.

The previous prime is 34021134517. The next prime is 34021134583. The reversal of 34021134576 is 67543112043.

34021134576 is a `hidden beast` number, since 3 + 40 + 2 + 11 + 34 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34021134576.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1367335 + ... + 1391993.

It is an arithmetic number, because the mean of its divisors is an integer number (473047848).

Almost surely, 2^34021134576 is an apocalyptic number.

34021134576 is a gapful number since it is divisible by the number (36) 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 34021134576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56765741760).

34021134576 is an abundant number, since it is smaller than the sum of its proper divisors (79510348944).

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

34021134576 is a wasteful number, since it uses less digits than its factorization.

34021134576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24764 (or 24755 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 34021134576 in words is "thirty-four billion, twenty-one million, one hundred thirty-four thousand, five hundred seventy-six".