34003241400032 has 24 divisors (see below), whose sum is σ = 67432522985856. Its totient is φ = 16877521276672.

The previous prime is 34003241400031. The next prime is 34003241400043. The reversal of 34003241400032 is 23000414230043.

It is a junction number, because it is equal to n+sod(n) for n = 34003241399974 and 34003241400010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003241400031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3878102528 + ... + 3878111295.

It is an arithmetic number, because the mean of its divisors is an integer number (2809688457744).

Almost surely, 2^{34003241400032} is an apocalyptic number.

34003241400032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34003241400032 is a deficient number, since it is larger than the sum of its proper divisors (33429281585824).

34003241400032 is a wasteful number, since it uses less digits than its factorization.

34003241400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756213970 (or 7756213962 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34003241400032 its reverse (23000414230043), we get a palindrome (57003655630075).

The spelling of 34003241400032 in words is "thirty-four trillion, three billion, two hundred forty-one million, four hundred thousand, thirty-two".