33395338368 has 896 divisors, whose sum is σ = 123615676800. Its totient is φ = 8778792960.

The previous prime is 33395338367. The next prime is 33395338393. The reversal of 33395338368 is 86383359333.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×33395338368² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (33395338363) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 776635755 + ... + 776635797.

It is an arithmetic number, because the mean of its divisors is an integer number (137963925).

Almost surely, 2^33395338368 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 33395338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61807838400).

33395338368 is an abundant number, since it is smaller than the sum of its proper divisors (90220338432).

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

33395338368 is an equidigital number, since it uses as much as digits as its factorization.

33395338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 54.

The spelling of 33395338368 in words is "thirty-three billion, three hundred ninety-five million, three hundred thirty-eight thousand, three hundred sixty-eight".