34563283272 has 288 divisors, whose sum is σ = 110438640000. Its totient is φ = 9736263936.

The previous prime is 34563283241. The next prime is 34563283289. The reversal of 34563283272 is 27238236543.

34563283272 is a `hidden beast` number, since 3 + 4 + 5 + 632 + 8 + 3 + 2 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144616129 + ... + 144616367.

It is an arithmetic number, because the mean of its divisors is an integer number (383467500).

Almost surely, 2^34563283272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34563283272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55219320000).

34563283272 is an abundant number, since it is smaller than the sum of its proper divisors (75875356728).

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

34563283272 is a wasteful number, since it uses less digits than its factorization.

34563283272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

It can be divided in two parts, 3456328 and 3272, that added together give a square (3459600 = 1860²).

The spelling of 34563283272 in words is "thirty-four billion, five hundred sixty-three million, two hundred eighty-three thousand, two hundred seventy-two".