3685152 has 48 divisors (see below), whose sum is σ = 10100160. Its totient is φ = 1174272.

The previous prime is 3685151. The next prime is 3685153. The reversal of 3685152 is 2515863.

It is an interprime number because it is at equal distance from previous prime (3685151) and next prime (3685153).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3685151) 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, 1374 + ... + 3042.

It is an arithmetic number, because the mean of its divisors is an integer number (210420).

Almost surely, 2^3685152 is an apocalyptic number.

3685152 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 3685152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050080).

3685152 is an abundant number, since it is smaller than the sum of its proper divisors (6415008).

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

3685152 is a wasteful number, since it uses less digits than its factorization.

3685152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1697 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 3685152 is about 1919.6749724888. The cubic root of 3685152 is about 154.4608671221.

The spelling of 3685152 in words is "three million, six hundred eighty-five thousand, one hundred fifty-two".