3668287380772 has 96 divisors (see below), whose sum is σ = 7516504719360. Its totient is φ = 1533786140160.

The previous prime is 3668287380673. The next prime is 3668287380799. The reversal of 3668287380772 is 2770837828663.

It is a super-2 number, since 2×3668287380772² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3668287380698 and 3668287380707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943245004 + ... + 943248892.

It is an arithmetic number, because the mean of its divisors is an integer number (78296924160).

Almost surely, 2^{3668287380772} 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 3668287380772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758252359680).

3668287380772 is an abundant number, since it is smaller than the sum of its proper divisors (3848217338588).

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

3668287380772 is a wasteful number, since it uses less digits than its factorization.

3668287380772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 67.

The spelling of 3668287380772 in words is "three trillion, six hundred sixty-eight billion, two hundred eighty-seven million, three hundred eighty thousand, seven hundred seventy-two".