3624768 has 168 divisors, whose sum is σ = 12679680. Its totient is φ = 967680.

The previous prime is 3624727. The next prime is 3624773. The reversal of 3624768 is 8674263.

3624768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (48384) is a multiple of the sum of its prime divisors (72).

It is a zygodrome in base 13.

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 23 ways as a sum of consecutive naturals, for example, 116913 + ... + 116943.

Almost surely, 2^3624768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339840).

3624768 is an abundant number, since it is smaller than the sum of its proper divisors (9054912).

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

3624768 is a wasteful number, since it uses less digits than its factorization.

3624768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3624768 is about 1903.8823493063. The cubic root of 3624768 is about 153.6125640764.

It can be divided in two parts, 36247 and 68, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 3624768 in words is "three million, six hundred twenty-four thousand, seven hundred sixty-eight".