34861100 has 54 divisors (see below), whose sum is σ = 79200660. Its totient is φ = 13317920.

The previous prime is 34861097. The next prime is 34861109. The reversal of 34861100 is 116843.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (34861109) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 52571 + ... + 53229.

Almost surely, 2^34861100 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 34861100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39600330).

34861100 is an abundant number, since it is smaller than the sum of its proper divisors (44339560).

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

34861100 is a wasteful number, since it uses less digits than its factorization.

34861100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 34861100 is about 5904.3289203770. The cubic root of 34861100 is about 326.6733419896.

Adding to 34861100 its reverse (116843), we get a palindrome (34977943).

The spelling of 34861100 in words is "thirty-four million, eight hundred sixty-one thousand, one hundred".