3404001100004 has 12 divisors (see below), whose sum is σ = 6162415784700. Its totient is φ = 1643310875808.

The previous prime is 3404001099971. The next prime is 3404001100037. The reversal of 3404001100004 is 4000011004043.

It is an interprime number because it is at equal distance from previous prime (3404001099971) and next prime (3404001100037).

It can be written as a sum of positive squares in 2 ways, for example, as 955877736100 + 2448123363904 = 977690^2 + 1564648^2 .

It is a super-3 number, since 3×3404001100004³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14672418419 + ... + 14672418650.

It is an arithmetic number, because the mean of its divisors is an integer number (513534648725).

Almost surely, 2^{3404001100004} is an apocalyptic number.

It is an amenable number.

3404001100004 is a deficient number, since it is larger than the sum of its proper divisors (2758414684696).

3404001100004 is a wasteful number, since it uses less digits than its factorization.

3404001100004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29344837102 (or 29344837100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 3404001100004 its reverse (4000011004043), we get a palindrome (7404012104047).

The spelling of 3404001100004 in words is "three trillion, four hundred four billion, one million, one hundred thousand, four".