3433667328 has 576 divisors, whose sum is σ = 12856596480. Its totient is φ = 879869952.

The previous prime is 3433667311. The next prime is 3433667329. The reversal of 3433667328 is 8237663343.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3433667329) 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 63 ways as a sum of consecutive naturals, for example, 33336525 + ... + 33336627.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 2^3433667328 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 3433667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

3433667328 is an abundant number, since it is smaller than the sum of its proper divisors (9422929152).

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

3433667328 is a wasteful number, since it uses less digits than its factorization.

3433667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 3433667328 is about 58597.5027454242. The cubic root of 3433667328 is about 1508.6415758409.

It can be divided in two parts, 3433 and 667328, that added together give a square (670761 = 819²).

The spelling of 3433667328 in words is "three billion, four hundred thirty-three million, six hundred sixty-seven thousand, three hundred twenty-eight".