34005320250 has 256 divisors, whose sum is σ = 96923174400. Its totient is φ = 7865088000.

The previous prime is 34005320249. The next prime is 34005320257. The reversal of 34005320250 is 5202350043.

It is a self number, because there is not a number n which added to its sum of digits gives 34005320250.

It is not an unprimeable number, because it can be changed into a prime (34005320257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21292452 + ... + 21294048.

It is an arithmetic number, because the mean of its divisors is an integer number (378606150).

Almost surely, 2^34005320250 is an apocalyptic number.

34005320250 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 34005320250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48461587200).

34005320250 is an abundant number, since it is smaller than the sum of its proper divisors (62917854150).

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

34005320250 is a wasteful number, since it uses less digits than its factorization.

34005320250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 34005320250 its reverse (5202350043), we get a palindrome (39207670293).

The spelling of 34005320250 in words is "thirty-four billion, five million, three hundred twenty thousand, two hundred fifty".