3211488900 has 81 divisors (see below), whose sum is σ = 10071565231. Its totient is φ = 855943680.

The previous prime is 3211488881. The next prime is 3211488937. The reversal of 3211488900 is 98841123.

The square root of 3211488900 is 56670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 81757764 + 3129731136 = 9042^2 + 55944^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1699156 + ... + 1701044.

Almost surely, 2^3211488900 is an apocalyptic number.

3211488900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3211488900 is the 56670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3211488900

3211488900 is an abundant number, since it is smaller than the sum of its proper divisors (6860076331).

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

3211488900 is a wasteful number, since it uses less digits than its factorization.

3211488900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 3211488900 is about 1475.3740543241.

Multiplying 3211488900 by its sum of digits (36), we get a square (115613600400 = 340020²).

3211488900 divided by its sum of digits (36) gives a square (89208025 = 9445²).

The spelling of 3211488900 in words is "three billion, two hundred eleven million, four hundred eighty-eight thousand, nine hundred".