3623328 has 72 divisors (see below), whose sum is σ = 10771488. Its totient is φ = 1153152.

The previous prime is 3623287. The next prime is 3623353. The reversal of 3623328 is 8233263.

3623328 is a `hidden beast` number, since 3 + 623 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6351 + ... + 6897.

It is an arithmetic number, because the mean of its divisors is an integer number (149604).

Almost surely, 2^3623328 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 3623328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385744).

3623328 is an abundant number, since it is smaller than the sum of its proper divisors (7148160).

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

3623328 is a wasteful number, since it uses less digits than its factorization.

3623328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3623328 is about 1903.5041371113. The cubic root of 3623328 is about 153.5922196580.

The spelling of 3623328 in words is "three million, six hundred twenty-three thousand, three hundred twenty-eight".