34860100 has 108 divisors (see below), whose sum is σ = 86352112. Its totient is φ = 12196800.

The previous prime is 34860037. The next prime is 34860101. The reversal of 34860100 is 106843.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (34860101) 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 35 ways as a sum of consecutive naturals, for example, 520267 + ... + 520333.

Almost surely, 2^34860100 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 34860100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43176056).

34860100 is an abundant number, since it is smaller than the sum of its proper divisors (51492012).

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

34860100 is a wasteful number, since it uses less digits than its factorization.

34860100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 34860100 is about 5904.2442361406. The cubic root of 34860100 is about 326.6702183889.

Adding to 34860100 its reverse (106843), we get a palindrome (34966943).

The spelling of 34860100 in words is "thirty-four million, eight hundred sixty thousand, one hundred".