3434410100 has 144 divisors (see below), whose sum is σ = 8388963072. Its totient is φ = 1209600000.

The previous prime is 3434410093. The next prime is 3434410121. The reversal of 3434410100 is 10144343.

It is a happy number.

3434410100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12221960 + ... + 12222240.

It is an arithmetic number, because the mean of its divisors is an integer number (58256688).

Almost surely, 2^3434410100 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 3434410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194481536).

3434410100 is an abundant number, since it is smaller than the sum of its proper divisors (4954552972).

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

3434410100 is a wasteful number, since it uses less digits than its factorization.

3434410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3434410100 is about 58603.8403178495. The cubic root of 3434410100 is about 1508.7503512717.

Adding to 3434410100 its reverse (10144343), we get a palindrome (3444554443).

It can be divided in two parts, 34344 and 10100, that added together give a palindrome (44444).

The spelling of 3434410100 in words is "three billion, four hundred thirty-four million, four hundred ten thousand, one hundred".