3142801200 has 720 divisors, whose sum is σ = 13188548736. Its totient is φ = 632217600.

The previous prime is 3142801171. The next prime is 3142801241. The reversal of 3142801200 is 21082413.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 143 ways as a sum of consecutive naturals, for example, 27812344 + ... + 27812456.

Almost surely, 2^3142801200 is an apocalyptic number.

3142801200 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 3142801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594274368).

3142801200 is an abundant number, since it is smaller than the sum of its proper divisors (10045747536).

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

3142801200 is a wasteful number, since it uses less digits than its factorization.

3142801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3142801200 is about 56060.6921113181. The cubic root of 3142801200 is about 1464.7796692103.

Adding to 3142801200 its reverse (21082413), we get a palindrome (3163883613).

The spelling of 3142801200 in words is "three billion, one hundred forty-two million, eight hundred one thousand, two hundred".