33730996075668 has 36 divisors (see below), whose sum is σ = 85264682050548. Its totient is φ = 11243636380800.

The previous prime is 33730996075661. The next prime is 33730996075703. The reversal of 33730996075668 is 86657069903733.

33730996075668 is a `hidden beast` number, since 3 + 3 + 7 + 3 + 0 + 9 + 9 + 607 + 5 + 6 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9658843505424 + 24072152570244 = 3107868^2 + 4906338^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33730996075668² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33730996075596 and 33730996075605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33730996075661) 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, 16520680 + ... + 18449792.

It is an arithmetic number, because the mean of its divisors is an integer number (2368463390293).

Almost surely, 2^{33730996075668} is an apocalyptic number.

It is an amenable number.

33730996075668 is an abundant number, since it is smaller than the sum of its proper divisors (51533685974880).

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

33730996075668 is a wasteful number, since it uses less digits than its factorization.

33730996075668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414824 (or 2414819 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 72.

The spelling of 33730996075668 in words is "thirty-three trillion, seven hundred thirty billion, nine hundred ninety-six million, seventy-five thousand, six hundred sixty-eight".