3365205664040 has 64 divisors (see below), whose sum is σ = 8309511826560. Its totient is φ = 1216383512320.

The previous prime is 3365205664027. The next prime is 3365205664127. The reversal of 3365205664040 is 404665025633.

It is a super-2 number, since 2×3365205664040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3365205663982 and 3365205664000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22825307 + ... + 22972266.

It is an arithmetic number, because the mean of its divisors is an integer number (129836122290).

Almost surely, 2^{3365205664040} is an apocalyptic number.

It is an amenable number.

3365205664040 is an abundant number, since it is smaller than the sum of its proper divisors (4944306162520).

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

3365205664040 is a wasteful number, since it uses less digits than its factorization.

3365205664040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45797762 (or 45797758 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 3365205664040 in words is "three trillion, three hundred sixty-five billion, two hundred five million, six hundred sixty-four thousand, forty".