33949868600 has 96 divisors (see below), whose sum is σ = 79852984320. Its totient is φ = 13422568320.

The previous prime is 33949868599. The next prime is 33949868609. The reversal of 33949868600 is 686894933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33949868609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7185839 + ... + 7190561.

It is an arithmetic number, because the mean of its divisors is an integer number (831801920).

Almost surely, 2^33949868600 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 33949868600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39926492160).

33949868600 is an abundant number, since it is smaller than the sum of its proper divisors (45903115720).

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

33949868600 is a wasteful number, since it uses less digits than its factorization.

33949868600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 33949868600 in words is "thirty-three billion, nine hundred forty-nine million, eight hundred sixty-eight thousand, six hundred".