33806383682120 has 128 divisors (see below), whose sum is σ = 88298878429440. Its totient is φ = 11409663206400.

The previous prime is 33806383682107. The next prime is 33806383682143. The reversal of 33806383682120 is 2128638360833.

It is a super-2 number, since 2×33806383682120² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437479 + ... + 8347401.

It is an arithmetic number, because the mean of its divisors is an integer number (689834987730).

Almost surely, 2^{33806383682120} 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 33806383682120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44149439214720).

33806383682120 is an abundant number, since it is smaller than the sum of its proper divisors (54492494747320).

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

33806383682120 is a wasteful number, since it uses less digits than its factorization.

33806383682120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910215 (or 6910211 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 53.

The spelling of 33806383682120 in words is "thirty-three trillion, eight hundred six billion, three hundred eighty-three million, six hundred eighty-two thousand, one hundred twenty".