3684912827904 has 2880 divisors, whose sum is σ = 15485908838400. Its totient is φ = 819831767040.

The previous prime is 3684912827803. The next prime is 3684912827927. The reversal of 3684912827904 is 4097282194863.

3684912827904 is a `hidden beast` number, since 3 + 68 + 491 + 2 + 82 + 7 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46644466137 + ... + 46644466215.

It is an arithmetic number, because the mean of its divisors is an integer number (5377051680).

Almost surely, 2^{3684912827904} is an apocalyptic number.

3684912827904 is a gapful number since it is divisible by the number (34) 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 3684912827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7742954419200).

3684912827904 is an abundant number, since it is smaller than the sum of its proper divisors (11800996010496).

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

3684912827904 is a wasteful number, since it uses less digits than its factorization.

3684912827904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3684912827904 in words is "three trillion, six hundred eighty-four billion, nine hundred twelve million, eight hundred twenty-seven thousand, nine hundred four".