29820829638 has 32 divisors (see below), whose sum is σ = 61432918272. Its totient is φ = 9644796000.

The previous prime is 29820829627. The next prime is 29820829729. The reversal of 29820829638 is 83692802892.

It is a super-2 number, since 2×29820829638² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343773 + ... + 421688.

It is an arithmetic number, because the mean of its divisors is an integer number (1919778696).

Almost surely, 2^29820829638 is an apocalyptic number.

29820829638 is an abundant number, since it is smaller than the sum of its proper divisors (31612088634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29820829638 is a wasteful number, since it uses less digits than its factorization.

29820829638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765660.

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 29820829638 in words is "twenty-nine billion, eight hundred twenty million, eight hundred twenty-nine thousand, six hundred thirty-eight".