34872484050 has 144 divisors (see below), whose sum is σ = 97083909000. Its totient is φ = 8963619840.

The previous prime is 34872484027. The next prime is 34872484091. The reversal of 34872484050 is 5048427843.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1916075529 + 32956408521 = 43773^2 + 181539^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34872483987 and 34872484005.

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 71 ways as a sum of consecutive naturals, for example, 9250566 + ... + 9254334.

Almost surely, 2^34872484050 is an apocalyptic number.

34872484050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34872484050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48541954500).

34872484050 is an abundant number, since it is smaller than the sum of its proper divisors (62211424950).

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

34872484050 is a wasteful number, since it uses less digits than its factorization.

34872484050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 34872484050 in words is "thirty-four billion, eight hundred seventy-two million, four hundred eighty-four thousand, fifty".