3142972800 has 384 divisors, whose sum is σ = 12551875200. Its totient is φ = 761702400.

The previous prime is 3142972751. The next prime is 3142972823. The reversal of 3142972800 is 82792413.

It is a tau number, because it is divible by the number of its divisors (384).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948747 + ... + 952053.

It is an arithmetic number, because the mean of its divisors is an integer number (32687175).

Almost surely, 2^3142972800 is an apocalyptic number.

3142972800 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 3142972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275937600).

3142972800 is an abundant number, since it is smaller than the sum of its proper divisors (9408902400).

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

3142972800 is a wasteful number, since it uses less digits than its factorization.

3142972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3142972800 is about 56062.2225745644. Note that the first 3 decimals coincide. The cubic root of 3142972800 is about 1464.8063281896.

The spelling of 3142972800 in words is "three billion, one hundred forty-two million, nine hundred seventy-two thousand, eight hundred".