3163276800 has 480 divisors, whose sum is σ = 11858124960. Its totient is φ = 836075520.

The previous prime is 3163276789. The next prime is 3163276889. The reversal of 3163276800 is 86723613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3163276800² = 20012640226836480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 27993544 + ... + 27993656.

It is an arithmetic number, because the mean of its divisors is an integer number (24704427).

Almost surely, 2^3163276800 is an apocalyptic number.

3163276800 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 3163276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929062480).

3163276800 is an abundant number, since it is smaller than the sum of its proper divisors (8694848160).

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

3163276800 is an frugal number, since it uses more digits than its factorization.

3163276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3163276800 is about 56243.0155663794. The cubic root of 3163276800 is about 1467.9538378869.

The spelling of 3163276800 in words is "three billion, one hundred sixty-three million, two hundred seventy-six thousand, eight hundred".