3613980 has 96 divisors (see below), whose sum is σ = 10967040. Its totient is φ = 887040.

The previous prime is 3613963. The next prime is 3613991. The reversal of 3613980 is 893163.

3613980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53907 + ... + 53973.

It is an arithmetic number, because the mean of its divisors is an integer number (114240).

Almost surely, 2^3613980 is an apocalyptic number.

3613980 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 3613980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483520).

3613980 is an abundant number, since it is smaller than the sum of its proper divisors (7353060).

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

3613980 is a wasteful number, since it uses less digits than its factorization.

3613980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3613980 is about 1901.0470799010. The cubic root of 3613980 is about 153.4600192253.

The spelling of 3613980 in words is "three million, six hundred thirteen thousand, nine hundred eighty".