34532064000 has 648 divisors, whose sum is σ = 144602273088. Its totient is φ = 7889817600.

The previous prime is 34532063959. The next prime is 34532064037. The reversal of 34532064000 is 46023543.

34532064000 is a `hidden beast` number, since 3 + 4 + 53 + 206 + 400 + 0 = 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, 14110777 + ... + 14113223.

It is an arithmetic number, because the mean of its divisors is an integer number (223151656).

Almost surely, 2^34532064000 is an apocalyptic number.

34532064000 is a gapful number since it is divisible by the number (30) 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 34532064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72301136544).

34532064000 is an abundant number, since it is smaller than the sum of its proper divisors (110070209088).

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

34532064000 is a wasteful number, since it uses less digits than its factorization.

34532064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34532064000 its reverse (46023543), we get a palindrome (34578087543).

The spelling of 34532064000 in words is "thirty-four billion, five hundred thirty-two million, sixty-four thousand".