3410120133 has 72 divisors (see below), whose sum is σ = 6093097920. Its totient is φ = 1795322880.

The previous prime is 3410120107. The next prime is 3410120143. The reversal of 3410120133 is 3310210143.

3410120133 is a `hidden beast` number, since 3 + 410 + 120 + 133 = 666.

It is not a de Polignac number, because 3410120133 - 2³⁰ = 2336378309 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410120143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1637653 + ... + 1639733.

It is an arithmetic number, because the mean of its divisors is an integer number (84626360).

Almost surely, 2^3410120133 is an apocalyptic number.

It is an amenable number.

3410120133 is a deficient number, since it is larger than the sum of its proper divisors (2682977787).

3410120133 is a wasteful number, since it uses less digits than its factorization.

3410120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3410120133 is about 58396.2338939764. The cubic root of 3410120133 is about 1505.1850389293.

Adding to 3410120133 its reverse (3310210143), we get a palindrome (6720330276).

The spelling of 3410120133 in words is "three billion, four hundred ten million, one hundred twenty thousand, one hundred thirty-three".