3620008516608 has 880 divisors, whose sum is σ = 12469158028800. Its totient is φ = 1034583736320.

The previous prime is 3620008516601. The next prime is 3620008516637. The reversal of 3620008516608 is 8066158000263.

3620008516608 is a `hidden beast` number, since 3 + 6 + 20 + 0 + 0 + 8 + 5 + 16 + 608 = 666.

It is a super-2 number, since 2×3620008516608² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3620008516601) 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 79 ways as a sum of consecutive naturals, for example, 6362053348 + ... + 6362053916.

It is an arithmetic number, because the mean of its divisors is an integer number (14169497760).

Almost surely, 2^{3620008516608} is an apocalyptic number.

3620008516608 is a gapful number since it is divisible by the number (38) 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 3620008516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234579014400).

3620008516608 is an abundant number, since it is smaller than the sum of its proper divisors (8849149512192).

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

3620008516608 is a wasteful number, since it uses less digits than its factorization.

3620008516608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3620008516608 in words is "three trillion, six hundred twenty billion, eight million, five hundred sixteen thousand, six hundred eight".