3825480 has 64 divisors (see below), whose sum is σ = 11664000. Its totient is φ = 1003520.

The previous prime is 3825473. The next prime is 3825509. The reversal of 3825480 is 845283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8296 + ... + 8744.

It is an arithmetic number, because the mean of its divisors is an integer number (182250).

Almost surely, 2^3825480 is an apocalyptic number.

3825480 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 3825480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832000).

3825480 is an abundant number, since it is smaller than the sum of its proper divisors (7838520).

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

3825480 is a wasteful number, since it uses less digits than its factorization.

3825480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3825480 is about 1955.8834321094. The cubic root of 3825480 is about 156.3970817717.

The spelling of 3825480 in words is "three million, eight hundred twenty-five thousand, four hundred eighty".