3682368 has 56 divisors (see below), whose sum is σ = 10830560. Its totient is φ = 1226880.

The previous prime is 3682363. The next prime is 3682381. The reversal of 3682368 is 8632863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3682361) 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, 663 + ... + 2793.

Almost surely, 2^3682368 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 3682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415280).

3682368 is an abundant number, since it is smaller than the sum of its proper divisors (7148192).

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

3682368 is a wasteful number, since it uses less digits than its factorization.

3682368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2136 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3682368 is about 1918.9497127335. The cubic root of 3682368 is about 154.4219607769.

The spelling of 3682368 in words is "three million, six hundred eighty-two thousand, three hundred sixty-eight".