3867904956601 has 9 divisors (see below), whose sum is σ = 4499415657999. Its totient is φ = 3315335305464.

The previous prime is 3867904956557. The next prime is 3867904956631. The reversal of 3867904956601 is 1066594097683.

The square root of 3867904956601 is 1966699.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 187354794025 + 3680550162576 = 432845^2 + 1918476^2 .

It is not a de Polignac number, because 3867904956601 - 2¹⁹ = 3867904432313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3867904956631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13626415 + ... + 13907371.

It is an arithmetic number, because the mean of its divisors is an integer number (499935073111).

Almost surely, 2^{3867904956601} is an apocalyptic number.

3867904956601 is the 1966699-th square number.

3867904956601 is the 983350-th centered octagonal number.

It is an amenable number.

3867904956601 is a deficient number, since it is larger than the sum of its proper divisors (631510701398).

3867904956601 is an frugal number, since it uses more digits than its factorization.

3867904956601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561928 (or 280964 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 3867904956601 by its sum of digits (64), we get a square (247545917222464 = 15733592²).

The spelling of 3867904956601 in words is "three trillion, eight hundred sixty-seven billion, nine hundred four million, nine hundred fifty-six thousand, six hundred one".