3695328 has 192 divisors, whose sum is σ = 13547520. Its totient is φ = 953856.

The previous prime is 3695317. The next prime is 3695339. The reversal of 3695328 is 8235963.

It is an interprime number because it is at equal distance from previous prime (3695317) and next prime (3695339).

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

It is a d-powerful number, because it can be written as 3¹² + 6³ + 9⁶ + 5⁵ + 3¹² + 2²¹ + 8³ .

Its product of digits (38880) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3695292 and 3695301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78601 + ... + 78647.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

Almost surely, 2^3695328 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 3695328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

3695328 is an abundant number, since it is smaller than the sum of its proper divisors (9852192).

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

3695328 is a wasteful number, since it uses less digits than its factorization.

3695328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3695328 is about 1922.3235939872. The cubic root of 3695328 is about 154.6029100411.

The spelling of 3695328 in words is "three million, six hundred ninety-five thousand, three hundred twenty-eight".