3825000 has 144 divisors (see below), whose sum is σ = 13710060. Its totient is φ = 960000.

The previous prime is 3824999. The next prime is 3825011. The reversal of 3825000 is 5283.

It can be written as a sum of positive squares in 6 ways, for example, as 161604 + 3663396 = 402^2 + 1914^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 224992 + ... + 225008.

Almost surely, 2^3825000 is an apocalyptic number.

3825000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855030).

3825000 is an abundant number, since it is smaller than the sum of its proper divisors (9885060).

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

3825000 is a wasteful number, since it uses less digits than its factorization.

3825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 27 counting only the distinct ones).

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

The square root of 3825000 is about 1955.7607215608. The cubic root of 3825000 is about 156.3905402188.

The spelling of 3825000 in words is "three million, eight hundred twenty-five thousand".