4004340100 has 18 divisors (see below), whose sum is σ = 8689418234. Its totient is φ = 1601736000.

The previous prime is 4004340077. The next prime is 4004340101. The reversal of 4004340100 is 10434004.

4004340100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 36096064 + 3968244036 = 6008^2 + 62994^2 .

It is not an unprimeable number, because it can be changed into a prime (4004340101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20021601 + ... + 20021800.

Almost surely, 2^4004340100 is an apocalyptic number.

It is an amenable number.

4004340100 is an abundant number, since it is smaller than the sum of its proper divisors (4685078134).

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

4004340100 is a wasteful number, since it uses less digits than its factorization.

4004340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40043415 (or 40043408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4004340100 is about 63279.8554043860. The cubic root of 4004340100 is about 1587.9749677227.

Adding to 4004340100 its reverse (10434004), we get a palindrome (4014774104).

The spelling of 4004340100 in words is "four billion, four million, three hundred forty thousand, one hundred".