3128442400 has 36 divisors (see below), whose sum is σ = 7637311962. Its totient is φ = 1251376640.

The previous prime is 3128442371. The next prime is 3128442409. The reversal of 3128442400 is 42448213.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1744899984 + 1383542416 = 41772^2 + 37196^2 .

It is not an unprimeable number, because it can be changed into a prime (3128442409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1954477 + ... + 1956076.

Almost surely, 2^3128442400 is an apocalyptic number.

It is an amenable number.

3128442400 is an abundant number, since it is smaller than the sum of its proper divisors (4508869562).

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

3128442400 is a wasteful number, since it uses less digits than its factorization.

3128442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910573 (or 3910560 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 3128442400 is about 55932.4807245307. The cubic root of 3128442400 is about 1462.5455061692.

The spelling of 3128442400 in words is "three billion, one hundred twenty-eight million, four hundred forty-two thousand, four hundred".