3676996854336 has 448 divisors, whose sum is σ = 11406360784896. Its totient is φ = 1035030528000.

The previous prime is 3676996854317. The next prime is 3676996854337. The reversal of 3676996854336 is 6334586996763.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3676996854337) 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 63 ways as a sum of consecutive naturals, for example, 384980761 + ... + 384990311.

It is an arithmetic number, because the mean of its divisors is an integer number (25460626752).

Almost surely, 2^{3676996854336} 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 3676996854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703180392448).

3676996854336 is an abundant number, since it is smaller than the sum of its proper divisors (7729363930560).

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

3676996854336 is a wasteful number, since it uses less digits than its factorization.

3676996854336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9840 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 75.

The spelling of 3676996854336 in words is "three trillion, six hundred seventy-six billion, nine hundred ninety-six million, eight hundred fifty-four thousand, three hundred thirty-six".