34829850 has 144 divisors (see below), whose sum is σ = 100931040. Its totient is φ = 7920000.

The previous prime is 34829827. The next prime is 34829857. The reversal of 34829850 is 5892843.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34829799 and 34829808.

It is not an unprimeable number, because it can be changed into a prime (34829857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344800 + ... + 344900.

It is an arithmetic number, because the mean of its divisors is an integer number (700910).

Almost surely, 2^34829850 is an apocalyptic number.

34829850 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 34829850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50465520).

34829850 is an abundant number, since it is smaller than the sum of its proper divisors (66101190).

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

34829850 is a wasteful number, since it uses less digits than its factorization.

34829850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 34829850 is about 5901.6819636439. The cubic root of 34829850 is about 326.5757012207.

The spelling of 34829850 in words is "thirty-four million, eight hundred twenty-nine thousand, eight hundred fifty".