3825808272 has 480 divisors, whose sum is σ = 13259151360. Its totient is φ = 1014266880.

The previous prime is 3825808253. The next prime is 3825808291. The reversal of 3825808272 is 2728085283.

It is an interprime number because it is at equal distance from previous prime (3825808253) and next prime (3825808291).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57101583 + ... + 57101649.

It is an arithmetic number, because the mean of its divisors is an integer number (27623232).

Almost surely, 2^3825808272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3825808272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629575680).

3825808272 is an abundant number, since it is smaller than the sum of its proper divisors (9433343088).

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

3825808272 is a wasteful number, since it uses less digits than its factorization.

3825808272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3825808272 is about 61853.1185309197. The cubic root of 3825808272 is about 1564.0155522467.

The spelling of 3825808272 in words is "three billion, eight hundred twenty-five million, eight hundred eight thousand, two hundred seventy-two".