3436728288 has 384 divisors, whose sum is σ = 11249280000. Its totient is φ = 916715520.

The previous prime is 3436728283. The next prime is 3436728289. The reversal of 3436728288 is 8828276343.

It is a happy number.

3436728288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3436728288² = 23622202651078821888, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3436728288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436728283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56339778 + ... + 56339838.

It is an arithmetic number, because the mean of its divisors is an integer number (29295000).

Almost surely, 2^3436728288 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 3436728288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

3436728288 is an abundant number, since it is smaller than the sum of its proper divisors (7812551712).

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

3436728288 is a wasteful number, since it uses less digits than its factorization.

3436728288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 3436728288 is about 58623.6154463370. The cubic root of 3436728288 is about 1509.0897380672.

The spelling of 3436728288 in words is "three billion, four hundred thirty-six million, seven hundred twenty-eight thousand, two hundred eighty-eight".