32734145808 has 360 divisors, whose sum is σ = 115546151448. Its totient is φ = 8574418944.

The previous prime is 32734145747. The next prime is 32734145809. The reversal of 32734145808 is 80854143723.

32734145808 is a `hidden beast` number, since 3 + 27 + 3 + 41 + 4 + 580 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3139136784 + 29595009024 = 56028^2 + 172032^2 .

It is not an unprimeable number, because it can be changed into a prime (32734145809) 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 71 ways as a sum of consecutive naturals, for example, 14400160 + ... + 14402432.

Almost surely, 2^32734145808 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 32734145808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57773075724).

32734145808 is an abundant number, since it is smaller than the sum of its proper divisors (82812005640).

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

32734145808 is a wasteful number, since it uses less digits than its factorization.

32734145808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 32734145808 in words is "thirty-two billion, seven hundred thirty-four million, one hundred forty-five thousand, eight hundred eight".