3825587220 has 192 divisors, whose sum is σ = 13219670016. Its totient is φ = 804948480.

The previous prime is 3825587203. The next prime is 3825587237. The reversal of 3825587220 is 227855283.

It is an interprime number because it is at equal distance from previous prime (3825587203) and next prime (3825587237).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2680147 + ... + 2681573.

It is an arithmetic number, because the mean of its divisors is an integer number (68852448).

Almost surely, 2^3825587220 is an apocalyptic number.

3825587220 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 3825587220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609835008).

3825587220 is an abundant number, since it is smaller than the sum of its proper divisors (9394082796).

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

3825587220 is a wasteful number, since it uses less digits than its factorization.

3825587220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 3825587220 is about 61851.3315943966. The cubic root of 3825587220 is about 1563.9854291633.

The spelling of 3825587220 in words is "three billion, eight hundred twenty-five million, five hundred eighty-seven thousand, two hundred twenty".