3612280 has 96 divisors (see below), whose sum is σ = 10054800. Its totient is φ = 1161216.

The previous prime is 3612277. The next prime is 3612281. The reversal of 3612280 is 822163.

3612280 is a nontrivial binomial coefficient, being equal to C(98, 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3612281) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37192 + ... + 37288.

Almost surely, 2^3612280 is an apocalyptic number.

3612280 is the 1552-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3612280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027400).

3612280 is an abundant number, since it is smaller than the sum of its proper divisors (6442520).

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

3612280 is a wasteful number, since it uses less digits than its factorization.

3612280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3612280 is about 1900.5999052931. The cubic root of 3612280 is about 153.4359531495.

The spelling of 3612280 in words is "three million, six hundred twelve thousand, two hundred eighty".