34007803780141 has 8 divisors (see below), whose sum is σ = 34862033841120. Its totient is φ = 33161446807632.

The previous prime is 34007803780057. The next prime is 34007803780151. The reversal of 34007803780141 is 14108730870043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34007803780141 - 2¹¹ = 34007803778093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34007803780091 and 34007803780100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34007803780151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1968263371 + ... + 1968280648.

It is an arithmetic number, because the mean of its divisors is an integer number (4357754230140).

Almost surely, 2^{34007803780141} is an apocalyptic number.

It is an amenable number.

34007803780141 is a deficient number, since it is larger than the sum of its proper divisors (854230060979).

34007803780141 is a wasteful number, since it uses less digits than its factorization.

34007803780141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936544235.

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 34007803780141 in words is "thirty-four trillion, seven billion, eight hundred three million, seven hundred eighty thousand, one hundred forty-one".