3623607728 has 80 divisors (see below), whose sum is σ = 7817208000. Its totient is φ = 1616329728.

The previous prime is 3623607727. The next prime is 3623607769. The reversal of 3623607728 is 8277063263.

It is not an unprimeable number, because it can be changed into a prime (3623607727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206773 + ... + 1209771.

It is an arithmetic number, because the mean of its divisors is an integer number (97715100).

Almost surely, 2^3623607728 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 3623607728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908604000).

3623607728 is an abundant number, since it is smaller than the sum of its proper divisors (4193600272).

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

3623607728 is a wasteful number, since it uses less digits than its factorization.

3623607728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The square root of 3623607728 is about 60196.4095939284. The cubic root of 3623607728 is about 1535.9617209608.

The spelling of 3623607728 in words is "three billion, six hundred twenty-three million, six hundred seven thousand, seven hundred twenty-eight".