34522018500672 has 168 divisors, whose sum is σ = 99575666102016. Its totient is φ = 11434735401984.

The previous prime is 34522018500623. The next prime is 34522018500677. The reversal of 34522018500672 is 27600581022543.

34522018500672 is a `hidden beast` number, since 3 + 4 + 52 + 20 + 1 + 8 + 500 + 6 + 72 = 666.

It is a super-2 number, since 2×34522018500672² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34522018500677) 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 23 ways as a sum of consecutive naturals, for example, 593061393 + ... + 593119599.

Almost surely, 2^{34522018500672} is an apocalyptic number.

34522018500672 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 34522018500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49787833051008).

34522018500672 is an abundant number, since it is smaller than the sum of its proper divisors (65053647601344).

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

34522018500672 is a wasteful number, since it uses less digits than its factorization.

34522018500672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64705 (or 64692 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 34522018500672 in words is "thirty-four trillion, five hundred twenty-two billion, eighteen million, five hundred thousand, six hundred seventy-two".