3906728792064 has 1248 divisors, whose sum is σ = 13942982836224. Its totient is φ = 1030045040640.

The previous prime is 3906728792023. The next prime is 3906728792077. The reversal of 3906728792064 is 4602978276093.

3906728792064 is a `hidden beast` number, since 3 + 90 + 67 + 287 + 9 + 206 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3906728791992 and 3906728792010.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 30761643969 + ... + 30761644095.

It is an arithmetic number, because the mean of its divisors is an integer number (11172261888).

Almost surely, 2^{3906728792064} 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 3906728792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971491418112).

3906728792064 is an abundant number, since it is smaller than the sum of its proper divisors (10036254044160).

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

3906728792064 is a wasteful number, since it uses less digits than its factorization.

3906728792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 3906728792064 in words is "three trillion, nine hundred six billion, seven hundred twenty-eight million, seven hundred ninety-two thousand, sixty-four".