3433776768 has 96 divisors (see below), whose sum is σ = 9953632260. Its totient is φ = 1136185344.

The previous prime is 3433776757. The next prime is 3433776769. The reversal of 3433776768 is 8676773343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3145863744 + 287913024 = 56088^2 + 16968^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3433776769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146946 + ... + 168702.

Almost surely, 2^3433776768 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 3433776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976816130).

3433776768 is an abundant number, since it is smaller than the sum of its proper divisors (6519855492).

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

3433776768 is a wasteful number, since it uses less digits than its factorization.

3433776768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21914 (or 21899 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The square root of 3433776768 is about 58598.4365661747. The cubic root of 3433776768 is about 1508.6576037943.

The spelling of 3433776768 in words is "three billion, four hundred thirty-three million, seven hundred seventy-six thousand, seven hundred sixty-eight".