3688350 has 48 divisors (see below), whose sum is σ = 9308928. Its totient is φ = 966240.

The previous prime is 3688343. The next prime is 3688357. The reversal of 3688350 is 538863.

It is an interprime number because it is at equal distance from previous prime (3688343) and next prime (3688357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9867 + ... + 10233.

It is an arithmetic number, because the mean of its divisors is an integer number (193936).

Almost surely, 2^3688350 is an apocalyptic number.

3688350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654464).

3688350 is an abundant number, since it is smaller than the sum of its proper divisors (5620578).

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

3688350 is a wasteful number, since it uses less digits than its factorization.

3688350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3688350 is about 1920.5077453632. The cubic root of 3688350 is about 154.5055349344.

The spelling of 3688350 in words is "three million, six hundred eighty-eight thousand, three hundred fifty".