3880900 has 27 divisors (see below), whose sum is σ = 8464519. Its totient is φ = 1544480.

The previous prime is 3880897. The next prime is 3880901. The reversal of 3880900 is 90883.

The square root of 3880900 is 1970.

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 894916 + 2985984 = 946^2 + 1728^2 .

It is a super-2 number, since 2×3880900² = 30122769620000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3880901) 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 8 ways as a sum of consecutive naturals, for example, 19602 + ... + 19798.

Almost surely, 2^3880900 is an apocalyptic number.

3880900 is the 1970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3880900

3880900 is an abundant number, since it is smaller than the sum of its proper divisors (4583619).

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

3880900 is a wasteful number, since it uses less digits than its factorization.

3880900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The cubic root of 3880900 is about 157.1487089517.

The spelling of 3880900 in words is "three million, eight hundred eighty thousand, nine hundred".