3406704004040 has 16 divisors (see below), whose sum is σ = 7665084009180. Its totient is φ = 1362681601600.

The previous prime is 3406704004037. The next prime is 3406704004049. The reversal of 3406704004040 is 404004076043.

3406704004040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3395344281316 + 11359722724 = 1842646^2 + 106582^2 .

It is a super-2 number, since 2×3406704004040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3406704003988 and 3406704004006.

It is not an unprimeable number, because it can be changed into a prime (3406704004049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42583800011 + ... + 42583800090.

Almost surely, 2^{3406704004040} is an apocalyptic number.

It is an amenable number.

3406704004040 is an abundant number, since it is smaller than the sum of its proper divisors (4258380005140).

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

3406704004040 is a wasteful number, since it uses less digits than its factorization.

3406704004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85167600112 (or 85167600108 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The spelling of 3406704004040 in words is "three trillion, four hundred six billion, seven hundred four million, four thousand, forty".