34113103022400 has 168 divisors, whose sum is σ = 112110078141600. Its totient is φ = 9081329571840.

The previous prime is 34113103022399. The next prime is 34113103022423. The reversal of 34113103022400 is 422030131143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3235975 + ... + 8871174.

It is an arithmetic number, because the mean of its divisors is an integer number (667321893700).

Almost surely, 2^{34113103022400} is an apocalyptic number.

34113103022400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34113103022400 is an abundant number, since it is smaller than the sum of its proper divisors (77996975119200).

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

34113103022400 is a wasteful number, since it uses less digits than its factorization.

34113103022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12107761 (or 12107746 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34113103022400 its reverse (422030131143), we get a palindrome (34535133153543).

The spelling of 34113103022400 in words is "thirty-four trillion, one hundred thirteen billion, one hundred three million, twenty-two thousand, four hundred".