3132100800 has 252 divisors, whose sum is σ = 11198402800. Its totient is φ = 830269440.

The previous prime is 3132100793. The next prime is 3132100813. The reversal of 3132100800 is 80012313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2865054 + ... + 2866146.

Almost surely, 2^3132100800 is an apocalyptic number.

3132100800 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 3132100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599201400).

3132100800 is an abundant number, since it is smaller than the sum of its proper divisors (8066302000).

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

3132100800 is a wasteful number, since it uses less digits than its factorization.

3132100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3132100800 is about 55965.1748858163. The cubic root of 3132100800 is about 1463.1153842422.

It can be divided in two parts, 3132100 and 800, that added together give a square (3132900 = 1770²).

The spelling of 3132100800 in words is "three billion, one hundred thirty-two million, one hundred thousand, eight hundred".