3128509440 has 704 divisors, whose sum is σ = 13158443520. Its totient is φ = 690094080.

The previous prime is 3128509403. The next prime is 3128509451. The reversal of 3128509440 is 449058213.

It is a super-2 number, since 2×3128509440² = 19575142632338227200, which contains 22 as substring.

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 = 3128509395 and 3128509404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51287010 + ... + 51287070.

Almost surely, 2^3128509440 is an apocalyptic number.

3128509440 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 3128509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579221760).

3128509440 is an abundant number, since it is smaller than the sum of its proper divisors (10029934080).

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

3128509440 is a wasteful number, since it uses less digits than its factorization.

3128509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3128509440 is about 55933.0800153183. The cubic root of 3128509440 is about 1462.5559531519. Note that the first 3 decimals are identical.

The spelling of 3128509440 in words is "three billion, one hundred twenty-eight million, five hundred nine thousand, four hundred forty".