3382971125697 has 12 divisors (see below), whose sum is σ = 4911069196800. Its totient is φ = 2243980846008.

The previous prime is 3382971125689. The next prime is 3382971125731. The reversal of 3382971125697 is 7965211792833.

3382971125697 is a `hidden beast` number, since 3 + 3 + 8 + 297 + 1 + 1 + 256 + 97 = 666.

3382971125697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3382971125697 - 2³ = 3382971125689 is a prime.

It is a super-3 number, since 3×3382971125697³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3382971125627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944434593 + ... + 944438174.

It is an arithmetic number, because the mean of its divisors is an integer number (409255766400).

Almost surely, 2^{3382971125697} is an apocalyptic number.

It is an amenable number.

3382971125697 is a deficient number, since it is larger than the sum of its proper divisors (1528098071103).

3382971125697 is a wasteful number, since it uses less digits than its factorization.

3382971125697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888872972 (or 1888872969 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 3382971125697 in words is "three trillion, three hundred eighty-two billion, nine hundred seventy-one million, one hundred twenty-five thousand, six hundred ninety-seven".