3406736674000 has 80 divisors (see below), whose sum is σ = 8986351997376. Its totient is φ = 1238813328000.

The previous prime is 3406736673941. The next prime is 3406736674007. The reversal of 3406736674000 is 4766376043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406736674007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77403834 + ... + 77447833.

Almost surely, 2^{3406736674000} is an apocalyptic number.

It is an amenable number.

3406736674000 is an abundant number, since it is smaller than the sum of its proper divisors (5579615323376).

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

3406736674000 is a wasteful number, since it uses less digits than its factorization.

3406736674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154851701 (or 154851685 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 46.

The spelling of 3406736674000 in words is "three trillion, four hundred six billion, seven hundred thirty-six million, six hundred seventy-four thousand".