3400112414034 has 288 divisors, whose sum is σ = 9176817162240. Its totient is φ = 905559782400.

The previous prime is 3400112414021. The next prime is 3400112414077. The reversal of 3400112414034 is 4304142110043.

3400112414034 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 11 + 241 + 403 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3400112413989 and 3400112414007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88541542 + ... + 88579934.

It is an arithmetic number, because the mean of its divisors is an integer number (31863948480).

Almost surely, 2^{3400112414034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400112414034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588408581120).

3400112414034 is an abundant number, since it is smaller than the sum of its proper divisors (5776704748206).

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

3400112414034 is a wasteful number, since it uses less digits than its factorization.

3400112414034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38566 (or 38556 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3400112414034 its reverse (4304142110043), we get a palindrome (7704254524077).

The spelling of 3400112414034 in words is "three trillion, four hundred billion, one hundred twelve million, four hundred fourteen thousand, thirty-four".