3406605201461 has 64 divisors (see below), whose sum is σ = 4307821056000. Its totient is φ = 2616890872320.

The previous prime is 3406605201431. The next prime is 3406605201469. The reversal of 3406605201461 is 1641025066043.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3406605201461 is a prime.

It is a super-3 number, since 3×3406605201461³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406605201469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1714445510 + ... + 1714447496.

It is an arithmetic number, because the mean of its divisors is an integer number (67309704000).

Almost surely, 2^{3406605201461} is an apocalyptic number.

It is an amenable number.

3406605201461 is a deficient number, since it is larger than the sum of its proper divisors (901215854539).

3406605201461 is a wasteful number, since it uses less digits than its factorization.

3406605201461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 3406605201461 in words is "three trillion, four hundred six billion, six hundred five million, two hundred one thousand, four hundred sixty-one".