3672056968965 has 192 divisors, whose sum is σ = 8154162611712. Its totient is φ = 1484034048000.

The previous prime is 3672056968961. The next prime is 3672056969029. The reversal of 3672056968965 is 5698696502763.

3672056968965 is a `hidden beast` number, since 36 + 7 + 20 + 569 + 6 + 8 + 9 + 6 + 5 = 666.

It is not a de Polignac number, because 3672056968965 - 2² = 3672056968961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3672056968893 and 3672056968902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672056968961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291403665 + ... + 291416265.

It is an arithmetic number, because the mean of its divisors is an integer number (42469596936).

Almost surely, 2^{3672056968965} is an apocalyptic number.

3672056968965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3672056968965 is an abundant number, since it is smaller than the sum of its proper divisors (4482105642747).

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

3672056968965 is a wasteful number, since it uses less digits than its factorization.

3672056968965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14940 (or 14937 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 3672056968965 in words is "three trillion, six hundred seventy-two billion, fifty-six million, nine hundred sixty-eight thousand, nine hundred sixty-five".