34541330250 has 256 divisors, whose sum is σ = 106142699520. Its totient is φ = 7304774400.

The previous prime is 34541330233. The next prime is 34541330267. The reversal of 34541330250 is 5203314543.

It is an interprime number because it is at equal distance from previous prime (34541330233) and next prime (34541330267).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 4285224 + ... + 4293276.

It is an arithmetic number, because the mean of its divisors is an integer number (414619920).

Almost surely, 2^34541330250 is an apocalyptic number.

34541330250 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 34541330250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071349760).

34541330250 is an abundant number, since it is smaller than the sum of its proper divisors (71601369270).

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

34541330250 is a wasteful number, since it uses less digits than its factorization.

34541330250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 34541330250 its reverse (5203314543), we get a palindrome (39744644793).

The spelling of 34541330250 in words is "thirty-four billion, five hundred forty-one million, three hundred thirty thousand, two hundred fifty".