34811000 has 64 divisors (see below), whose sum is σ = 93113280. Its totient is φ = 11932800.

The previous prime is 34810967. The next prime is 34811017. The reversal of 34811000 is 11843.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34811000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4514 + ... + 9486.

It is an arithmetic number, because the mean of its divisors is an integer number (1454895).

Almost surely, 2^34811000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34811000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46556640).

34811000 is an abundant number, since it is smaller than the sum of its proper divisors (58302280).

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

34811000 is a wasteful number, since it uses less digits than its factorization.

34811000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 34811000 is about 5900.0847451541. The cubic root of 34811000 is about 326.5167760666.

Adding to 34811000 its reverse (11843), we get a palindrome (34822843).

The spelling of 34811000 in words is "thirty-four million, eight hundred eleven thousand".