33864889344 has 352 divisors, whose sum is σ = 107053449216. Its totient is φ = 9382625280.

The previous prime is 33864889243. The next prime is 33864889361. The reversal of 33864889344 is 44398846833.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×33864889344² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55790289 + ... + 55790895.

Almost surely, 2^33864889344 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 33864889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53526724608).

33864889344 is an abundant number, since it is smaller than the sum of its proper divisors (73188559872).

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

33864889344 is a wasteful number, since it uses less digits than its factorization.

33864889344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 763 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 33864889344 in words is "thirty-three billion, eight hundred sixty-four million, eight hundred eighty-nine thousand, three hundred forty-four".