3623280 has 80 divisors (see below), whose sum is σ = 11618304. Its totient is φ = 933120.

The previous prime is 3623273. The next prime is 3623287. The reversal of 3623280 is 823263.

3623280 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 (3623273) and next prime (3623287).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3623280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3623287) 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 15 ways as a sum of consecutive naturals, for example, 7197 + ... + 7683.

Almost surely, 2^3623280 is an apocalyptic number.

3623280 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 3623280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809152).

3623280 is an abundant number, since it is smaller than the sum of its proper divisors (7995024).

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

3623280 is a wasteful number, since it uses less digits than its factorization.

3623280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3623280 is about 1903.4915287440. The cubic root of 3623280 is about 153.5915414179.

The spelling of 3623280 in words is "three million, six hundred twenty-three thousand, two hundred eighty".