3629006133975 has 72 divisors (see below), whose sum is σ = 6507997285920. Its totient is φ = 1933076586240.

The previous prime is 3629006133887. The next prime is 3629006134049. The reversal of 3629006133975 is 5793316009263.

3629006133975 is a `hidden beast` number, since 3 + 629 + 0 + 0 + 6 + 1 + 3 + 3 + 9 + 7 + 5 = 666.

3629006133975 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3629006133975 - 2¹⁰ = 3629006132951 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 941863149 + ... + 941867001.

Almost surely, 2^{3629006133975} is an apocalyptic number.

3629006133975 is a deficient number, since it is larger than the sum of its proper divisors (2878991151945).

3629006133975 is a wasteful number, since it uses less digits than its factorization.

3629006133975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 3629006133975 in words is "three trillion, six hundred twenty-nine billion, six million, one hundred thirty-three thousand, nine hundred seventy-five".