3628980 has 36 divisors (see below), whose sum is σ = 11008452. Its totient is φ = 967680.

The previous prime is 3628969. The next prime is 3628987. The reversal of 3628980 is 898263.

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 1790244 = 1356^2 + 1338^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9901 + ... + 10260.

Almost surely, 2^3628980 is an apocalyptic number.

3628980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3628980 is an abundant number, since it is smaller than the sum of its proper divisors (7379472).

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

3628980 is a wasteful number, since it uses less digits than its factorization.

3628980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20176 (or 20171 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3628980 is about 1904.9881889398. The cubic root of 3628980 is about 153.6720405882.

The spelling of 3628980 in words is "three million, six hundred twenty-eight thousand, nine hundred eighty".