3464828928 has 288 divisors, whose sum is σ = 11406769920. Its totient is φ = 1002946560.

The previous prime is 3464828921. The next prime is 3464828947. The reversal of 3464828928 is 8298284643.

3464828928 is a `hidden beast` number, since 3 + 464 + 82 + 89 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464828921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4662925 + ... + 4663667.

It is an arithmetic number, because the mean of its divisors is an integer number (39606840).

Almost surely, 2^3464828928 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 3464828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703384960).

3464828928 is an abundant number, since it is smaller than the sum of its proper divisors (7941940992).

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

3464828928 is a wasteful number, since it uses less digits than its factorization.

3464828928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 782 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 3464828928 is about 58862.7974870376. The cubic root of 3464828928 is about 1513.1916363974.

The spelling of 3464828928 in words is "three billion, four hundred sixty-four million, eight hundred twenty-eight thousand, nine hundred twenty-eight".