3825548160 has 512 divisors, whose sum is σ = 14946508800. Its totient is φ = 812851200.

The previous prime is 3825548123. The next prime is 3825548161. The reversal of 3825548160 is 618455283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825548161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18130455 + ... + 18130665.

It is an arithmetic number, because the mean of its divisors is an integer number (29192400).

Almost surely, 2^3825548160 is an apocalyptic number.

3825548160 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 3825548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473254400).

3825548160 is an abundant number, since it is smaller than the sum of its proper divisors (11120960640).

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

3825548160 is a wasteful number, since it uses less digits than its factorization.

3825548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 3825548160 is about 61851.0158364436. The cubic root of 3825548160 is about 1563.9801062786.

The spelling of 3825548160 in words is "three billion, eight hundred twenty-five million, five hundred forty-eight thousand, one hundred sixty".