3162973981200 has 480 divisors, whose sum is σ = 11695994265600. Its totient is φ = 722610432000.

The previous prime is 3162973981169. The next prime is 3162973981231. The reversal of 3162973981200 is 21893792613.

It is an interprime number because it is at equal distance from previous prime (3162973981169) and next prime (3162973981231).

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 95 ways as a sum of consecutive naturals, for example, 47869786 + ... + 47935814.

It is an arithmetic number, because the mean of its divisors is an integer number (24366654720).

Almost surely, 2^{3162973981200} is an apocalyptic number.

3162973981200 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 3162973981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847997132800).

3162973981200 is an abundant number, since it is smaller than the sum of its proper divisors (8533020284400).

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

3162973981200 is a wasteful number, since it uses less digits than its factorization.

3162973981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66271 (or 66260 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 3162973981200 in words is "three trillion, one hundred sixty-two billion, nine hundred seventy-three million, nine hundred eighty-one thousand, two hundred".