3146204160000 has 1120 divisors, whose sum is σ = 12713234212800. Its totient is φ = 762347520000.

The previous prime is 3146204159993. The next prime is 3146204160013. The reversal of 3146204160000 is 614026413.

3146204160000 is a `hidden beast` number, since 3 + 14 + 6 + 2 + 0 + 41 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1520638966 + ... + 1520641034.

Almost surely, 2^{3146204160000} is an apocalyptic number.

3146204160000 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 3146204160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356617106400).

3146204160000 is an abundant number, since it is smaller than the sum of its proper divisors (9567030052800).

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

3146204160000 is an equidigital number, since it uses as much as digits as its factorization.

3146204160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3146204160000 its reverse (614026413), we get a palindrome (3146818186413).

The spelling of 3146204160000 in words is "three trillion, one hundred forty-six billion, two hundred four million, one hundred sixty thousand".