33666700338 has 48 divisors (see below), whose sum is σ = 74260457856. Its totient is φ = 11021015040.

The previous prime is 33666700337. The next prime is 33666700339. The reversal of 33666700338 is 83300766633.

It is an interprime number because it is at equal distance from previous prime (33666700337) and next prime (33666700339).

It is a super-2 number, since 2×33666700338² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33666700293 and 33666700302.

It is not an unprimeable number, because it can be changed into a prime (33666700337) 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 23 ways as a sum of consecutive naturals, for example, 277195 + ... + 379697.

It is an arithmetic number, because the mean of its divisors is an integer number (1547092872).

Almost surely, 2^33666700338 is an apocalyptic number.

33666700338 is an abundant number, since it is smaller than the sum of its proper divisors (40593757518).

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

33666700338 is a wasteful number, since it uses less digits than its factorization.

33666700338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102839 (or 102836 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 33666700338 in words is "thirty-three billion, six hundred sixty-six million, seven hundred thousand, three hundred thirty-eight".