3675480 has 64 divisors (see below), whose sum is σ = 11167200. Its totient is φ = 967680.

The previous prime is 3675479. The next prime is 3675481. The reversal of 3675480 is 845763.

It is an interprime number because it is at equal distance from previous prime (3675479) and next prime (3675481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12940 + ... + 13220.

Almost surely, 2^3675480 is an apocalyptic number.

3675480 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 3675480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583600).

3675480 is an abundant number, since it is smaller than the sum of its proper divisors (7491720).

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

3675480 is a wasteful number, since it uses less digits than its factorization.

3675480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3675480 is about 1917.1541409078. The cubic root of 3675480 is about 154.3256167614.

The spelling of 3675480 in words is "three million, six hundred seventy-five thousand, four hundred eighty".