3802500 has 135 divisors (see below), whose sum is σ = 13005993. Its totient is φ = 936000.

The previous prime is 3802493. The next prime is 3802511. The reversal of 3802500 is 52083.

The square root of 3802500 is 1950.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3755844 + 46656 = 1938^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 292494 + ... + 292506.

Almost surely, 2^3802500 is an apocalyptic number.

3802500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3802500 is the 1950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3802500

3802500 is an abundant number, since it is smaller than the sum of its proper divisors (9203493).

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

3802500 is a wasteful number, since it uses less digits than its factorization.

3802500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 3802500 is about 156.0832888573.

Adding to 3802500 its reverse (52083), we get a palindrome (3854583).

The spelling of 3802500 in words is "three million, eight hundred two thousand, five hundred".