3424404100 has 72 divisors (see below), whose sum is σ = 8278610760. Its totient is φ = 1220782080.

The previous prime is 3424404097. The next prime is 3424404101. The reversal of 3424404100 is 14044243.

It can be written as a sum of positive squares in 12 ways, for example, as 1205617284 + 2218786816 = 34722^2 + 47104^2 .

It is not an unprimeable number, because it can be changed into a prime (3424404101) 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 23 ways as a sum of consecutive naturals, for example, 7717 + ... + 83116.

It is an arithmetic number, because the mean of its divisors is an integer number (114980705).

Almost surely, 2^3424404100 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 3424404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139305380).

3424404100 is an abundant number, since it is smaller than the sum of its proper divisors (4854206660).

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

3424404100 is a wasteful number, since it uses less digits than its factorization.

3424404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90889 (or 90882 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3424404100 is about 58518.4082148515. The cubic root of 3424404100 is about 1507.2837004838.

Adding to 3424404100 its reverse (14044243), we get a palindrome (3438448343).

The spelling of 3424404100 in words is "three billion, four hundred twenty-four million, four hundred four thousand, one hundred".