34721658432 has 168 divisors, whose sum is σ = 105526597176. Its totient is φ = 10877681664.

The previous prime is 34721658431. The next prime is 34721658493. The reversal of 34721658432 is 23485612743.

34721658432 is a `hidden beast` number, since 3 + 47 + 21 + 6 + 584 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2070614016 + 32651044416 = 45504^2 + 180696^2 .

It is not an unprimeable number, because it can be changed into a prime (34721658431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8350498 + ... + 8354654.

It is an arithmetic number, because the mean of its divisors is an integer number (628134507).

Almost surely, 2^34721658432 is an apocalyptic number.

34721658432 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 34721658432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52763298588).

34721658432 is an abundant number, since it is smaller than the sum of its proper divisors (70804938744).

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

34721658432 is a wasteful number, since it uses less digits than its factorization.

34721658432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5032 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 34721658432 in words is "thirty-four billion, seven hundred twenty-one million, six hundred fifty-eight thousand, four hundred thirty-two".