34275548402100 has 216 divisors, whose sum is σ = 109204810540280. Its totient is φ = 8989584768000.

The previous prime is 34275548402087. The next prime is 34275548402107. The reversal of 34275548402100 is 120484557243.

34275548402100 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 554 + 84 + 0 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10286927240976 + 23988621161124 = 3207324^2 + 4897818^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34275548402107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1244514330 + ... + 1244541870.

Almost surely, 2^{34275548402100} is an apocalyptic number.

34275548402100 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 34275548402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54602405270140).

34275548402100 is an abundant number, since it is smaller than the sum of its proper divisors (74929262138180).

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

34275548402100 is a wasteful number, since it uses less digits than its factorization.

34275548402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50291 (or 50281 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 34275548402100 in words is "thirty-four trillion, two hundred seventy-five billion, five hundred forty-eight million, four hundred two thousand, one hundred".