33729676641 has 40 divisors (see below), whose sum is σ = 53105738400. Its totient is φ = 21275835840.

The previous prime is 33729676637. The next prime is 33729676649. The reversal of 33729676641 is 14667692733.

It is a happy number.

It is not a de Polignac number, because 33729676641 - 2² = 33729676637 is a prime.

It is a super-2 number, since 2×33729676641² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33729676649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1231506 + ... + 1258596.

It is an arithmetic number, because the mean of its divisors is an integer number (1327643460).

Almost surely, 2^33729676641 is an apocalyptic number.

It is an amenable number.

33729676641 is a deficient number, since it is larger than the sum of its proper divisors (19376061759).

33729676641 is a wasteful number, since it uses less digits than its factorization.

33729676641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27931 (or 27922 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 33729676641 in words is "thirty-three billion, seven hundred twenty-nine million, six hundred seventy-six thousand, six hundred forty-one".