3680352 has 72 divisors (see below), whose sum is σ = 11282544. Its totient is φ = 1131264.

The previous prime is 3680321. The next prime is 3680363. The reversal of 3680352 is 2530863.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 3253 + ... + 4235.

It is an arithmetic number, because the mean of its divisors is an integer number (156702).

Almost surely, 2^3680352 is an apocalyptic number.

3680352 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 3680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641272).

3680352 is an abundant number, since it is smaller than the sum of its proper divisors (7602192).

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

3680352 is a wasteful number, since it uses less digits than its factorization.

3680352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

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

The square root of 3680352 is about 1918.4243534734. The cubic root of 3680352 is about 154.3937749734.

The spelling of 3680352 in words is "three million, six hundred eighty thousand, three hundred fifty-two".