3682040686368 has 288 divisors, whose sum is σ = 11163653202240. Its totient is φ = 1053676062720.

The previous prime is 3682040686343. The next prime is 3682040686427. The reversal of 3682040686368 is 8636860402863.

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 47 ways as a sum of consecutive naturals, for example, 120830238 + ... + 120860706.

It is an arithmetic number, because the mean of its divisors is an integer number (38762684730).

Almost surely, 2^{3682040686368} is an apocalyptic number.

3682040686368 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 3682040686368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581826601120).

3682040686368 is an abundant number, since it is smaller than the sum of its proper divisors (7481612515872).

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

3682040686368 is a wasteful number, since it uses less digits than its factorization.

3682040686368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30848 (or 30821 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 3682040686368 in words is "three trillion, six hundred eighty-two billion, forty million, six hundred eighty-six thousand, three hundred sixty-eight".