33730142368 has 24 divisors (see below), whose sum is σ = 71514389268. Its totient is φ = 15567757824.

The previous prime is 33730142351. The next prime is 33730142429. The reversal of 33730142368 is 86324103733.

It can be written as a sum of positive squares in 2 ways, for example, as 26520773904 + 7209368464 = 162852^2 + 84908^2 .

It is a super-2 number, since 2×33730142368² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33730142368.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40540621 + ... + 40541452.

Almost surely, 2^33730142368 is an apocalyptic number.

It is an amenable number.

33730142368 is an abundant number, since it is smaller than the sum of its proper divisors (37784246900).

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

33730142368 is a wasteful number, since it uses less digits than its factorization.

33730142368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81082096 (or 81082088 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 33730142368 in words is "thirty-three billion, seven hundred thirty million, one hundred forty-two thousand, three hundred sixty-eight".