3634980 has 48 divisors (see below), whose sum is σ = 10402560. Its totient is φ = 947968.

The previous prime is 3634963. The next prime is 3634993. The reversal of 3634980 is 894363.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2176 + ... + 3464.

It is an arithmetic number, because the mean of its divisors is an integer number (216720).

Almost surely, 2^3634980 is an apocalyptic number.

3634980 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 3634980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201280).

3634980 is an abundant number, since it is smaller than the sum of its proper divisors (6767580).

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

3634980 is a wasteful number, since it uses less digits than its factorization.

3634980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3634980 is about 1906.5623514588. The cubic root of 3634980 is about 153.7566855444.

The spelling of 3634980 in words is "three million, six hundred thirty-four thousand, nine hundred eighty".