3672839933568 has 576 divisors, whose sum is σ = 11777105134080. Its totient is φ = 1097565880320.

The previous prime is 3672839933447. The next prime is 3672839933597. The reversal of 3672839933568 is 8653399382763.

3672839933568 is a `hidden beast` number, since 3 + 6 + 7 + 28 + 3 + 9 + 9 + 33 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3672839933568² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3672839933496 and 3672839933505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1598971396 + ... + 1598973692.

It is an arithmetic number, because the mean of its divisors is an integer number (20446363080).

Almost surely, 2^{3672839933568} 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 3672839933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888552567040).

3672839933568 is an abundant number, since it is smaller than the sum of its proper divisors (8104265200512).

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

3672839933568 is a wasteful number, since it uses less digits than its factorization.

3672839933568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2549 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 3672839933568 in words is "three trillion, six hundred seventy-two billion, eight hundred thirty-nine million, nine hundred thirty-three thousand, five hundred sixty-eight".