33666700340 has 192 divisors, whose sum is σ = 93257063424. Its totient is φ = 9915789312.

The previous prime is 33666700339. The next prime is 33666700351. The reversal of 33666700340 is 4300766633.

It is a super-2 number, since 2×33666700340² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33666700294 and 33666700303.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1537952 + ... + 1559688.

It is an arithmetic number, because the mean of its divisors is an integer number (485713872).

Almost surely, 2^33666700340 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 33666700340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46628531712).

33666700340 is an abundant number, since it is smaller than the sum of its proper divisors (59590363084).

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

33666700340 is a wasteful number, since it uses less digits than its factorization.

33666700340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21826 (or 21824 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 38.

The spelling of 33666700340 in words is "thirty-three billion, six hundred sixty-six million, seven hundred thousand, three hundred forty".