3128038400 has 264 divisors, whose sum is σ = 8376324000. Its totient is φ = 1154580480.

The previous prime is 3128038399. The next prime is 3128038421. The reversal of 3128038400 is 48308213.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28697546 + ... + 28697654.

It is an arithmetic number, because the mean of its divisors is an integer number (31728500).

Almost surely, 2^3128038400 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 3128038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188162000).

3128038400 is an abundant number, since it is smaller than the sum of its proper divisors (5248285600).

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

3128038400 is a wasteful number, since it uses less digits than its factorization.

3128038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3128038400 is about 55928.8691106838. The cubic root of 3128038400 is about 1462.4825468490.

The spelling of 3128038400 in words is "three billion, one hundred twenty-eight million, thirty-eight thousand, four hundred".