3128077440 has 320 divisors, whose sum is σ = 11321069760. Its totient is φ = 822970368.

The previous prime is 3128077439. The next prime is 3128077451. The reversal of 3128077440 is 447708213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3128077395 and 3128077404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4302357 + ... + 4303083.

It is an arithmetic number, because the mean of its divisors is an integer number (35378343).

Almost surely, 2^3128077440 is an apocalyptic number.

3128077440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3128077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660534880).

3128077440 is an abundant number, since it is smaller than the sum of its proper divisors (8192992320).

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

3128077440 is an equidigital number, since it uses as much as digits as its factorization.

3128077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3128077440 is about 55929.2181243400. The cubic root of 3128077440 is about 1462.4886310753.

The spelling of 3128077440 in words is "three billion, one hundred twenty-eight million, seventy-seven thousand, four hundred forty".