34254784512 has 288 divisors, whose sum is σ = 108394977600. Its totient is φ = 10357014528.

The previous prime is 34254784507. The next prime is 34254784579. The reversal of 34254784512 is 21548745243.

34254784512 is a `hidden beast` number, since 3 + 4 + 2 + 54 + 7 + 84 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 14136133 + ... + 14138555.

It is an arithmetic number, because the mean of its divisors is an integer number (376371450).

Almost surely, 2^34254784512 is an apocalyptic number.

34254784512 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 34254784512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54197488800).

34254784512 is an abundant number, since it is smaller than the sum of its proper divisors (74140193088).

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

34254784512 is a wasteful number, since it uses less digits than its factorization.

34254784512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2500 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 34254784512 in words is "thirty-four billion, two hundred fifty-four million, seven hundred eighty-four thousand, five hundred twelve".