3981610000 has 75 divisors (see below), whose sum is σ = 9655177323. Its totient is φ = 1590120000.

The previous prime is 3981609979. The next prime is 3981610007. The reversal of 3981610000 is 161893.

It is a happy number.

The square root of 3981610000 is 63100.

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 312158224 + 3669451776 = 17668^2 + 60576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3981610007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6309685 + ... + 6310315.

Almost surely, 2^3981610000 is an apocalyptic number.

3981610000 is the 63100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981610000

3981610000 is an abundant number, since it is smaller than the sum of its proper divisors (5673567323).

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

3981610000 is an frugal number, since it uses more digits than its factorization.

3981610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The cubic root of 3981610000 is about 1584.9646222039.

Multiplying 3981610000 by its product of nonzero digits (1296), we get a square (5160166560000 = 2271600²).

Adding to 3981610000 its reverse (161893), we get a palindrome (3981771893).

The spelling of 3981610000 in words is "three billion, nine hundred eighty-one million, six hundred ten thousand".