34932972100 has 108 divisors (see below), whose sum is σ = 83584074756. Its totient is φ = 12597500160.

The previous prime is 34932972091. The next prime is 34932972103. The reversal of 34932972100 is 127923943.

It can be written as a sum of positive squares in 6 ways, for example, as 3057868804 + 31875103296 = 55298^2 + 178536^2 .

It is not an unprimeable number, because it can be changed into a prime (34932972103) 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 35 ways as a sum of consecutive naturals, for example, 2396434 + ... + 2410966.

Almost surely, 2^34932972100 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 34932972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41792037378).

34932972100 is an abundant number, since it is smaller than the sum of its proper divisors (48651102656).

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

34932972100 is a wasteful number, since it uses less digits than its factorization.

34932972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14646 (or 14596 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 34932972100 in words is "thirty-four billion, nine hundred thirty-two million, nine hundred seventy-two thousand, one hundred".