3852360 has 160 divisors (see below), whose sum is σ = 13721400. Its totient is φ = 967680.

The previous prime is 3852347. The next prime is 3852361. The reversal of 3852360 is 632583.

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 1726596 = 1458^2 + 1314^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3852361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93940 + ... + 93980.

Almost surely, 2^3852360 is an apocalyptic number.

3852360 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 3852360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860700).

3852360 is an abundant number, since it is smaller than the sum of its proper divisors (9869040).

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

3852360 is a wasteful number, since it uses less digits than its factorization.

3852360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3852360 is about 1962.7429785889. The cubic root of 3852360 is about 156.7625387740.

It can be divided in two parts, 38523 and 60, that added together give a palindrome (38583).

The spelling of 3852360 in words is "three million, eight hundred fifty-two thousand, three hundred sixty".