3927688704 has 280 divisors, whose sum is σ = 12478431240. Its totient is φ = 1230225408.

The previous prime is 3927688693. The next prime is 3927688763. The reversal of 3927688704 is 4078867293.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6344907 + ... + 6345525.

Almost surely, 2^3927688704 is an apocalyptic number.

3927688704 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 3927688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239215620).

3927688704 is an abundant number, since it is smaller than the sum of its proper divisors (8550742536).

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

3927688704 is an frugal number, since it uses more digits than its factorization.

3927688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3927688704 is about 62671.2749511289. The cubic root of 3927688704 is about 1577.7772387194. Note that the first 3 decimals are identical.

The spelling of 3927688704 in words is "three billion, nine hundred twenty-seven million, six hundred eighty-eight thousand, seven hundred four".