3380834205405 has 12 divisors (see below), whose sum is σ = 5860112622780. Its totient is φ = 1803111576192.

The previous prime is 3380834205379. The next prime is 3380834205461. The reversal of 3380834205405 is 5045024380833.

3380834205405 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 8 + 34 + 205 + 405 = 666.

3380834205405 is digitally balanced in base 3, 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 741083383044 + 2639750822361 = 860862^2 + 1624731^2 .

It is not a de Polignac number, because 3380834205405 - 2⁵ = 3380834205373 is a prime.

It is a super-2 number, since 2×3380834205405² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 75129649009 = 3380834205405 / (3 + 3 + 8 + 0 + 8 + 3 + 4 + 2 + 0 + 5 + 4 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37564824460 + ... + 37564824549.

It is an arithmetic number, because the mean of its divisors is an integer number (488342718565).

Almost surely, 2^{3380834205405} is an apocalyptic number.

It is an amenable number.

3380834205405 is a deficient number, since it is larger than the sum of its proper divisors (2479278417375).

3380834205405 is a wasteful number, since it uses less digits than its factorization.

3380834205405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75129649020 (or 75129649017 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3380834205405 in words is "three trillion, three hundred eighty billion, eight hundred thirty-four million, two hundred five thousand, four hundred five".