3160670284800 has 1188 divisors, whose sum is σ = 13653202519320. Its totient is φ = 722369249280.

The previous prime is 3160670284777. The next prime is 3160670284817. The reversal of 3160670284800 is 84820760613.

3160670284800 is a `hidden beast` number, since 3 + 160 + 6 + 7 + 0 + 2 + 8 + 480 + 0 = 666.

It is a super-2 number, since 2×3160670284800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 304814016 + ... + 304824384.

Almost surely, 2^{3160670284800} is an apocalyptic number.

3160670284800 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 3160670284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826601259660).

3160670284800 is an abundant number, since it is smaller than the sum of its proper divisors (10492532234520).

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

3160670284800 is a wasteful number, since it uses less digits than its factorization.

3160670284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10386 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 3160670284800 in words is "three trillion, one hundred sixty billion, six hundred seventy million, two hundred eighty-four thousand, eight hundred".