3872288 has 48 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 1625856.

The previous prime is 3872287. The next prime is 3872291. The reversal of 3872288 is 8822783.

It is a super-2 number, since 2×3872288² = 29989228709888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3872287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13070 + ... + 13362.

It is an arithmetic number, because the mean of its divisors is an integer number (185220).

Almost surely, 2^3872288 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 3872288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

3872288 is an abundant number, since it is smaller than the sum of its proper divisors (5018272).

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

3872288 is a wasteful number, since it uses less digits than its factorization.

3872288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 3872288 is about 1967.8129992456. The cubic root of 3872288 is about 157.0323813826.

It can be divided in two parts, 3872 and 288, that multiplied together give a square (1115136 = 1056²).

The spelling of 3872288 in words is "three million, eight hundred seventy-two thousand, two hundred eighty-eight".