34813382250 has 64 divisors (see below), whose sum is σ = 87145269120. Its totient is φ = 9256745600.

The previous prime is 34813382249. The next prime is 34813382269. The reversal of 34813382250 is 5228331843.

It is a junction number, because it is equal to n+sod(n) for n = 34813382199 and 34813382208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193366 + ... + 327134.

It is an arithmetic number, because the mean of its divisors is an integer number (1361644830).

Almost surely, 2^34813382250 is an apocalyptic number.

34813382250 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 34813382250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43572634560).

34813382250 is an abundant number, since it is smaller than the sum of its proper divisors (52331886870).

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

34813382250 is a wasteful number, since it uses less digits than its factorization.

34813382250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134136 (or 134126 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 34813382250 in words is "thirty-four billion, eight hundred thirteen million, three hundred eighty-two thousand, two hundred fifty".