34046530056 has 576 divisors, whose sum is σ = 121764202560. Its totient is φ = 8491392000.

The previous prime is 34046529977. The next prime is 34046530087. The reversal of 34046530056 is 65003564043.

34046530056 is a `hidden beast` number, since 34 + 0 + 46 + 530 + 0 + 56 = 666.

It is a super-2 number, since 2×34046530056² (a number of 22 digits) contains 22 as substring.

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 34046530056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188102286 + ... + 188102466.

It is an arithmetic number, because the mean of its divisors is an integer number (211396185).

Almost surely, 2^34046530056 is an apocalyptic number.

34046530056 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 34046530056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60882101280).

34046530056 is an abundant number, since it is smaller than the sum of its proper divisors (87717672504).

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

34046530056 is a wasteful number, since it uses less digits than its factorization.

34046530056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 34046530056 in words is "thirty-four billion, forty-six million, five hundred thirty thousand, fifty-six".