3675600 has 90 divisors (see below), whose sum is σ = 12767846. Its totient is φ = 979200.

The previous prime is 3675593. The next prime is 3675601. The reversal of 3675600 is 65763.

It can be written as a sum of positive squares in 3 ways, for example, as 304704 + 3370896 = 552^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3090 + ... + 4110.

Almost surely, 2^3675600 is an apocalyptic number.

3675600 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 3675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383923).

3675600 is an abundant number, since it is smaller than the sum of its proper divisors (9092246).

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

3675600 is a wasteful number, since it uses less digits than its factorization.

3675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3675600 is about 1917.1854370405. The cubic root of 3675600 is about 154.3272962583.

The spelling of 3675600 in words is "three million, six hundred seventy-five thousand, six hundred".