3827896900 has 81 divisors (see below), whose sum is σ = 8715792631. Its totient is φ = 1459142080.

The previous prime is 3827896879. The next prime is 3827896927. The reversal of 3827896900 is 96987283.

The square root of 3827896900 is 61870.

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 1468269124 + 2359627776 = 38318^2 + 48576^2 .

It is a super-2 number, since 2×3827896900² = 29305589354059220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14229966 + ... + 14230234.

Almost surely, 2^3827896900 is an apocalyptic number.

3827896900 is the 61870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827896900

3827896900 is an abundant number, since it is smaller than the sum of its proper divisors (4887895731).

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

3827896900 is a wasteful number, since it uses less digits than its factorization.

3827896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The cubic root of 3827896900 is about 1564.3001154177.

The spelling of 3827896900 in words is "three billion, eight hundred twenty-seven million, eight hundred ninety-six thousand, nine hundred".