33794767360 has 160 divisors (see below), whose sum is σ = 82988951760. Its totient is φ = 13193576448.

The previous prime is 33794767339. The next prime is 33794767361. The reversal of 33794767360 is 6376749733.

It can be written as a sum of positive squares in 8 ways, for example, as 12497451264 + 21297316096 = 111792^2 + 145936^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×33794767360⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (33794767361) 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 15 ways as a sum of consecutive naturals, for example, 31612906 + ... + 31613974.

Almost surely, 2^33794767360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33794767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41494475880).

33794767360 is an abundant number, since it is smaller than the sum of its proper divisors (49194184400).

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

33794767360 is a wasteful number, since it uses less digits than its factorization.

33794767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 55.

The spelling of 33794767360 in words is "thirty-three billion, seven hundred ninety-four million, seven hundred sixty-seven thousand, three hundred sixty".