3841152 has 64 divisors (see below), whose sum is σ = 11668800. Its totient is φ = 1096704.

The previous prime is 3841141. The next prime is 3841153. The reversal of 3841152 is 2511483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

3841152 is a modest number, since divided by 1152 gives 384 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3841153) 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, 1974 + ... + 3402.

It is an arithmetic number, because the mean of its divisors is an integer number (182325).

Almost surely, 2^3841152 is an apocalyptic number.

3841152 is a gapful number since it is divisible by the number (32) 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 3841152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834400).

3841152 is an abundant number, since it is smaller than the sum of its proper divisors (7827648).

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

3841152 is a wasteful number, since it uses less digits than its factorization.

3841152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1441 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 3841152 is about 1959.8857109536. The cubic root of 3841152 is about 156.6103635516.

It can be divided in two parts, 3841 and 152, that added together give a palindrome (3993).

The spelling of 3841152 in words is "three million, eight hundred forty-one thousand, one hundred fifty-two".