3146120770400 has 144 divisors (see below), whose sum is σ = 7810285672224. Its totient is φ = 1237286522880.

The previous prime is 3146120770369. The next prime is 3146120770421. The reversal of 3146120770400 is 40770216413.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18427829 + ... + 18597771.

It is an arithmetic number, because the mean of its divisors is an integer number (54238094946).

Almost surely, 2^{3146120770400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146120770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905142836112).

3146120770400 is an abundant number, since it is smaller than the sum of its proper divisors (4664164901824).

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

3146120770400 is a wasteful number, since it uses less digits than its factorization.

3146120770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170353 (or 170340 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

Adding to 3146120770400 its reverse (40770216413), we get a palindrome (3186890986813).

The spelling of 3146120770400 in words is "three trillion, one hundred forty-six billion, one hundred twenty million, seven hundred seventy thousand, four hundred".