3675360 has 192 divisors, whose sum is σ = 13547520. Its totient is φ = 829440.

The previous prime is 3675359. The next prime is 3675361. The reversal of 3675360 is 635763.

It is an interprime number because it is at equal distance from previous prime (3675359) and next prime (3675361).

It is a super-2 number, since 2×3675360² = 27016542259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118545 + ... + 118575.

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

Almost surely, 2^3675360 is an apocalyptic number.

3675360 is a gapful number since it is divisible by the number (30) 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 3675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

3675360 is an abundant number, since it is smaller than the sum of its proper divisors (9872160).

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

3675360 is a wasteful number, since it uses less digits than its factorization.

3675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 3675360 is about 1917.1228442643. The cubic root of 3675360 is about 154.3239372278.

The spelling of 3675360 in words is "three million, six hundred seventy-five thousand, three hundred sixty".