3802000 has 40 divisors (see below), whose sum is σ = 9198072. Its totient is φ = 1520000.

The previous prime is 3801983. The next prime is 3802003. The reversal of 3802000 is 2083.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 3055504 = 864^2 + 1748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3802003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050 + ... + 2950.

Almost surely, 2^3802000 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 3802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599036).

3802000 is an abundant number, since it is smaller than the sum of its proper divisors (5396072).

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

3802000 is a wasteful number, since it uses less digits than its factorization.

3802000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3802000 is about 1949.8717906570. The cubic root of 3802000 is about 156.0764472999.

Adding to 3802000 its reverse (2083), we get a palindrome (3804083).

The spelling of 3802000 in words is "three million, eight hundred two thousand".