34011353250 has 480 divisors, whose sum is σ = 111862498176. Its totient is φ = 7688520000.

The previous prime is 34011353219. The next prime is 34011353329. The reversal of 34011353250 is 5235311043.

34011353250 is a `hidden beast` number, since 3 + 401 + 1 + 3 + 5 + 3 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 239 ways as a sum of consecutive naturals, for example, 149829637 + ... + 149829863.

Almost surely, 2^34011353250 is an apocalyptic number.

34011353250 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 34011353250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55931249088).

34011353250 is an abundant number, since it is smaller than the sum of its proper divisors (77851144926).

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

34011353250 is a wasteful number, since it uses less digits than its factorization.

34011353250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 34011353250 its reverse (5235311043), we get a palindrome (39246664293).

The spelling of 34011353250 in words is "thirty-four billion, eleven million, three hundred fifty-three thousand, two hundred fifty".