3132800000 has 264 divisors, whose sum is σ = 8635228560. Its totient is φ = 1126400000.

The previous prime is 3132799973. The next prime is 3132800029. The reversal of 3132800000 is 82313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35199956 + ... + 35200044.

Almost surely, 2^3132800000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317614280).

3132800000 is an abundant number, since it is smaller than the sum of its proper divisors (5502428560).

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

3132800000 is an frugal number, since it uses more digits than its factorization.

3132800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3132800000 is about 55971.4212790778. The cubic root of 3132800000 is about 1463.2242498489.

Adding to 3132800000 its reverse (82313), we get a palindrome (3132882313).

The spelling of 3132800000 in words is "three billion, one hundred thirty-two million, eight hundred thousand".