33840653000 has 256 divisors, whose sum is σ = 103927449600. Its totient is φ = 9992160000.

The previous prime is 33840652921. The next prime is 33840653009. The reversal of 33840653000 is 35604833.

It is a super-2 number, since 2×33840653000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33840653009) 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 63 ways as a sum of consecutive naturals, for example, 1451435 + ... + 1474565.

It is an arithmetic number, because the mean of its divisors is an integer number (405966600).

Almost surely, 2^33840653000 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 33840653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51963724800).

33840653000 is an abundant number, since it is smaller than the sum of its proper divisors (70086796600).

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

33840653000 is a wasteful number, since it uses less digits than its factorization.

33840653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23189 (or 23175 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 33840653000 in words is "thirty-three billion, eight hundred forty million, six hundred fifty-three thousand".