33829877041 has 9 divisors (see below), whose sum is σ = 34041790209. Its totient is φ = 33619278336.

The previous prime is 33829877021. The next prime is 33829877047. The reversal of 33829877041 is 14077892833.

The square root of 33829877041 is 183929.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4080526641 + 29749350400 = 63879^2 + 172480^2 .

It is a de Polignac number, because none of the positive numbers 2^k-33829877041 is a prime.

It is a super-2 number, since 2×33829877041² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33829877041.

It is not an unprimeable number, because it can be changed into a prime (33829877047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35497821 + ... + 35498773.

Almost surely, 2^33829877041 is an apocalyptic number.

33829877041 is the 183929-th square number.

33829877041 is the 91965-th centered octagonal number.

It is an amenable number.

33829877041 is a deficient number, since it is larger than the sum of its proper divisors (211913168).

33829877041 is an frugal number, since it uses more digits than its factorization.

33829877041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 33829877041 in words is "thirty-three billion, eight hundred twenty-nine million, eight hundred seventy-seven thousand, forty-one".