3835676884600 has 96 divisors (see below), whose sum is σ = 10151657216640. Its totient is φ = 1334148464000.

The previous prime is 3835676884583. The next prime is 3835676884631. The reversal of 3835676884600 is 64886765383.

3835676884600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37851346 + ... + 37952545.

It is an arithmetic number, because the mean of its divisors is an integer number (105746429340).

Almost surely, 2^{3835676884600} is an apocalyptic number.

It is an amenable number.

3835676884600 is an abundant number, since it is smaller than the sum of its proper divisors (6315980332040).

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

3835676884600 is a wasteful number, since it uses less digits than its factorization.

3835676884600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75803941 (or 75803932 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 64.

The spelling of 3835676884600 in words is "three trillion, eight hundred thirty-five billion, six hundred seventy-six million, eight hundred eighty-four thousand, six hundred".