3129972800 has 84 divisors (see below), whose sum is σ = 7889700756. Its totient is φ = 1221427200.

The previous prime is 3129972787. The next prime is 3129972887. The reversal of 3129972800 is 82799213.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1168545856 + 1961426944 = 34184^2 + 44288^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41744 + ... + 89456.

It is an arithmetic number, because the mean of its divisors is an integer number (93925009).

Almost surely, 2^3129972800 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 3129972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944850378).

3129972800 is an abundant number, since it is smaller than the sum of its proper divisors (4759727956).

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

3129972800 is a wasteful number, since it uses less digits than its factorization.

3129972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47776 (or 47761 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 3129972800 is about 55946.1598324675. The cubic root of 3129972800 is about 1462.7839544101.

The spelling of 3129972800 in words is "three billion, one hundred twenty-nine million, nine hundred seventy-two thousand, eight hundred".