3626280 has 96 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 828288.

The previous prime is 3626279. The next prime is 3626281. The reversal of 3626280 is 826263.

3626280 is a `hidden beast` number, since 36 + 2 + 628 + 0 = 666.

3626280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3626279) and next prime (3626281).

It is not an unprimeable number, because it can be changed into a prime (3626281) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1801 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 2^3626280 is an apocalyptic number.

3626280 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 3626280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

3626280 is an abundant number, since it is smaller than the sum of its proper divisors (9852120).

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

3626280 is a wasteful number, since it uses less digits than its factorization.

3626280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3626280 is about 1904.2793912659. The cubic root of 3626280 is about 153.6339199177.

The spelling of 3626280 in words is "three million, six hundred twenty-six thousand, two hundred eighty".