3128675942400 has 720 divisors, whose sum is σ = 11146307923968. Its totient is φ = 772079616000.

The previous prime is 3128675942387. The next prime is 3128675942443. The reversal of 3128675942400 is 42495768213.

It is a super-2 number, since 2×3128675942400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876132615 + ... + 876136185.

It is a 1-persistent number, because it is pandigital, but 2⋅3128675942400 = 6257351884800 is not.

Almost surely, 2^{3128675942400} is an apocalyptic number.

3128675942400 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 3128675942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573153961984).

3128675942400 is an abundant number, since it is smaller than the sum of its proper divisors (8017631981568).

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

3128675942400 is a wasteful number, since it uses less digits than its factorization.

3128675942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 3128675942400 in words is "three trillion, one hundred twenty-eight billion, six hundred seventy-five million, nine hundred forty-two thousand, four hundred".