33956967808 has 64 divisors (see below), whose sum is σ = 71316849600. Its totient is φ = 16060543488.

The previous prime is 33956967761. The next prime is 33956967809. The reversal of 33956967808 is 80876965933.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 33956967808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33956967809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1650835 + ... + 1671277.

It is an arithmetic number, because the mean of its divisors is an integer number (1114325775).

Almost surely, 2^33956967808 is an apocalyptic number.

33956967808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33956967808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35658424800).

33956967808 is an abundant number, since it is smaller than the sum of its proper divisors (37359881792).

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

33956967808 is a wasteful number, since it uses less digits than its factorization.

33956967808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21159 (or 21147 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 33956967808 in words is "thirty-three billion, nine hundred fifty-six million, nine hundred sixty-seven thousand, eight hundred eight".