3002116870400 has 54 divisors (see below), whose sum is σ = 7430708350842. Its totient is φ = 1200846745600.

The previous prime is 3002116870351. The next prime is 3002116870469. The reversal of 3002116870400 is 40786112003.

It can be written as a sum of positive squares in 3 ways, for example, as 518492164096 + 2483624706304 = 720064^2 + 1575952^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 234533981 + ... + 234546780.

Almost surely, 2^{3002116870400} is an apocalyptic number.

It is an amenable number.

3002116870400 is an abundant number, since it is smaller than the sum of its proper divisors (4428591480442).

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

3002116870400 is an equidigital number, since it uses as much as digits as its factorization.

3002116870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469080787 (or 469080768 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 3002116870400 in words is "three trillion, two billion, one hundred sixteen million, eight hundred seventy thousand, four hundred".