34067403337040 has 80 divisors (see below), whose sum is σ = 79401400016400. Its totient is φ = 13593483816960.

The previous prime is 34067403336949. The next prime is 34067403337061. The reversal of 34067403337040 is 4073330476043.

It can be written as a sum of positive squares in 8 ways, for example, as 1998423286336 + 32068980050704 = 1413656^2 + 5662948^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34067403336982 and 34067403337000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129575636 + ... + 129838284.

It is an arithmetic number, because the mean of its divisors is an integer number (992517500205).

Almost surely, 2^{34067403337040} is an apocalyptic number.

It is an amenable number.

34067403337040 is an abundant number, since it is smaller than the sum of its proper divisors (45333996679360).

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

34067403337040 is a wasteful number, since it uses less digits than its factorization.

34067403337040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266640 (or 266634 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 44.

The spelling of 34067403337040 in words is "thirty-four trillion, sixty-seven billion, four hundred three million, three hundred thirty-seven thousand, forty".