34772701100 has 72 divisors (see below), whose sum is σ = 77312082960. Its totient is φ = 13570036480.

The previous prime is 34772701091. The next prime is 34772701129. The reversal of 34772701100 is 110727743.

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, 930374 + ... + 967026.

It is an arithmetic number, because the mean of its divisors is an integer number (1073778930).

Almost surely, 2^34772701100 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 34772701100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38656041480).

34772701100 is an abundant number, since it is smaller than the sum of its proper divisors (42539381860).

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

34772701100 is a wasteful number, since it uses less digits than its factorization.

34772701100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36899 (or 36892 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The spelling of 34772701100 in words is "thirty-four billion, seven hundred seventy-two million, seven hundred one thousand, one hundred".