3623085072 has 320 divisors, whose sum is σ = 11713536000. Its totient is φ = 1066867200.

The previous prime is 3623085071. The next prime is 3623085077. The reversal of 3623085072 is 2705803263.

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

It is not an unprimeable number, because it can be changed into a prime (3623085071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7378747 + ... + 7379237.

It is an arithmetic number, because the mean of its divisors is an integer number (36604800).

Almost surely, 2^3623085072 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 3623085072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856768000).

3623085072 is an abundant number, since it is smaller than the sum of its proper divisors (8090450928).

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

3623085072 is a wasteful number, since it uses less digits than its factorization.

3623085072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3623085072 is about 60192.0681817796. The cubic root of 3623085072 is about 1535.8878702326.

The spelling of 3623085072 in words is "three billion, six hundred twenty-three million, eighty-five thousand, seventy-two".