3852288 has 144 divisors (see below), whose sum is σ = 12776400. Its totient is φ = 1105920.

The previous prime is 3852271. The next prime is 3852301. The reversal of 3852288 is 8822583.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202743 + ... + 202761.

It is an arithmetic number, because the mean of its divisors is an integer number (88725).

Almost surely, 2^3852288 is an apocalyptic number.

3852288 is a gapful number since it is divisible by the number (38) 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 3852288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388200).

3852288 is an abundant number, since it is smaller than the sum of its proper divisors (8924112).

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

3852288 is a wasteful number, since it uses less digits than its factorization.

3852288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 3852288 is about 1962.7246368250. The cubic root of 3852288 is about 156.7615621455.

It can be divided in two parts, 38 and 52288, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 3852288 in words is "three million, eight hundred fifty-two thousand, two hundred eighty-eight".