3188724490000 has 225 divisors, whose sum is σ = 8984186914131. Its totient is φ = 1092848400000.

The previous prime is 3188724489997. The next prime is 3188724490057. The reversal of 3188724490000 is 944278813.

The square root of 3188724490000 is 1785700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 249996000016 + 2938728489984 = 499996^2 + 1714272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1249988725 + ... + 1249991275.

Almost surely, 2^{3188724490000} is an apocalyptic number.

3188724490000 is the 1785700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3188724490000

3188724490000 is an abundant number, since it is smaller than the sum of its proper divisors (5795462424131).

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

3188724490000 is an frugal number, since it uses more digits than its factorization.

3188724490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

It can be divided in two parts, 3188724 and 490000, that added together give a square (3678724 = 1918²).

The spelling of 3188724490000 in words is "three trillion, one hundred eighty-eight billion, seven hundred twenty-four million, four hundred ninety thousand".