3675980 has 108 divisors (see below), whose sum is σ = 10188864. Its totient is φ = 1108800.

The previous prime is 3675977. The next prime is 3675983. The reversal of 3675980 is 895763.

It is an interprime number because it is at equal distance from previous prime (3675977) and next prime (3675983).

It is not an unprimeable number, because it can be changed into a prime (3675983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118565 + ... + 118595.

Almost surely, 2^3675980 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 3675980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094432).

3675980 is an abundant number, since it is smaller than the sum of its proper divisors (6512884).

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

3675980 is a wasteful number, since it uses less digits than its factorization.

3675980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 3675980 is about 1917.2845380903. The cubic root of 3675980 is about 154.3326144242.

The spelling of 3675980 in words is "three million, six hundred seventy-five thousand, nine hundred eighty".