3608364672 has 320 divisors, whose sum is σ = 12129717600. Its totient is φ = 1054771200.

The previous prime is 3608364649. The next prime is 3608364673. The reversal of 3608364672 is 2764638063.

3608364672 is a `hidden beast` number, since 3 + 608 + 36 + 4 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×3608364672² = 26040591212275335168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3608364673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3306847 + ... + 3307937.

Almost surely, 2^3608364672 is an apocalyptic number.

3608364672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3608364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064858800).

3608364672 is an abundant number, since it is smaller than the sum of its proper divisors (8521352928).

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

3608364672 is a wasteful number, since it uses less digits than its factorization.

3608364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3608364672 is about 60069.6651563832. The cubic root of 3608364672 is about 1533.8049701426.

The spelling of 3608364672 in words is "three billion, six hundred eight million, three hundred sixty-four thousand, six hundred seventy-two".