3841600 has 105 divisors (see below), whose sum is σ = 11027537. Its totient is φ = 1317120.

The previous prime is 3841573. The next prime is 3841603. The reversal of 3841600 is 61483.

The square root of 3841600 is 1960.

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

It can be written as a sum of positive squares in only one way, i.e., 1382976 + 2458624 = 1176^2 + 1568^2 .

It is a Duffinian number.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (3841603) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 548797 + ... + 548803.

Almost surely, 2^3841600 is an apocalyptic number.

3841600 is the 1960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3841600

3841600 is an abundant number, since it is smaller than the sum of its proper divisors (7185937).

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

3841600 is an frugal number, since it uses more digits than its factorization.

3841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 3841600 is about 156.6164518914.

Multiplying 3841600 by its product of nonzero digits (576), we get a square (2212761600 = 47040²).

The spelling of 3841600 in words is "three million, eight hundred forty-one thousand, six hundred".