3764210000 has 100 divisors (see below), whose sum is σ = 9336826884. Its totient is φ = 1468800000.

The previous prime is 3764209997. The next prime is 3764210017. The reversal of 3764210000 is 124673.

It can be written as a sum of positive squares in 10 ways, for example, as 3448508176 + 315701824 = 58724^2 + 17768^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 405410 + ... + 414590.

Almost surely, 2^3764210000 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 3764210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668413442).

3764210000 is an abundant number, since it is smaller than the sum of its proper divisors (5572616884).

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

3764210000 is an equidigital number, since it uses as much as digits as its factorization.

3764210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 3764210000 is about 61353.1580279288. The cubic root of 3764210000 is about 1555.5761694169.

Adding to 3764210000 its reverse (124673), we get a palindrome (3764334673).

The spelling of 3764210000 in words is "three billion, seven hundred sixty-four million, two hundred ten thousand".