3672227328 has 320 divisors, whose sum is σ = 12421347840. Its totient is φ = 936345600.

The previous prime is 3672227291. The next prime is 3672227333. The reversal of 3672227328 is 8237222763.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3672227328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7214338 + ... + 7214846.

It is an arithmetic number, because the mean of its divisors is an integer number (38816712).

Almost surely, 2^3672227328 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 3672227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210673920).

3672227328 is an abundant number, since it is smaller than the sum of its proper divisors (8749120512).

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

3672227328 is a wasteful number, since it uses less digits than its factorization.

3672227328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 3672227328 is about 60598.9053366478. The cubic root of 3672227328 is about 1542.8007905736.

The spelling of 3672227328 in words is "three billion, six hundred seventy-two million, two hundred twenty-seven thousand, three hundred twenty-eight".