3407404040337 has 16 divisors (see below), whose sum is σ = 4956264842688. Its totient is φ = 2065076364480.

The previous prime is 3407404040333. The next prime is 3407404040419. The reversal of 3407404040337 is 7330404047043.

It is not a de Polignac number, because 3407404040337 - 2² = 3407404040333 is a prime.

It is a super-2 number, since 2×3407404040337² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3407404040295 and 3407404040304.

It is not an unprimeable number, because it can be changed into a prime (3407404040333) 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, 4497423 + ... + 5200155.

It is an arithmetic number, because the mean of its divisors is an integer number (309766552668).

Almost surely, 2^{3407404040337} is an apocalyptic number.

It is an amenable number.

3407404040337 is a deficient number, since it is larger than the sum of its proper divisors (1548860802351).

3407404040337 is a wasteful number, since it uses less digits than its factorization.

3407404040337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849680.

The product of its (nonzero) digits is 338688, while the sum is 39.

The spelling of 3407404040337 in words is "three trillion, four hundred seven billion, four hundred four million, forty thousand, three hundred thirty-seven".