34007400006740 has 24 divisors (see below), whose sum is σ = 71578217800320. Its totient is φ = 13571973757728.

The previous prime is 34007400006707. The next prime is 34007400006799. The reversal of 34007400006740 is 4760000470043.

It is a self number, because there is not a number n which added to its sum of digits gives 34007400006740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1936631312 + ... + 1936648871.

It is an arithmetic number, because the mean of its divisors is an integer number (2982425741680).

Almost surely, 2^{34007400006740} is an apocalyptic number.

It is an amenable number.

34007400006740 is an abundant number, since it is smaller than the sum of its proper divisors (37570817793580).

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

34007400006740 is a wasteful number, since it uses less digits than its factorization.

34007400006740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873280631 (or 3873280629 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

Adding to 34007400006740 its reverse (4760000470043), we get a palindrome (38767400476783).

The spelling of 34007400006740 in words is "thirty-four trillion, seven billion, four hundred million, six thousand, seven hundred forty".