3837625966001 has 4 divisors (see below), whose sum is σ = 3837629890404. Its totient is φ = 3837622041600.

The previous prime is 3837625965991. The next prime is 3837625966039. The reversal of 3837625966001 is 1006695267383.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 3369665992225 + 467959973776 = 1835665^2 + 684076^2 .

It is a cyclic number.

It is not a de Polignac number, because 3837625966001 - 2²⁶ = 3837558857137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3837625966061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 812681 + ... + 2887161.

It is an arithmetic number, because the mean of its divisors is an integer number (959407472601).

Almost surely, 2^{3837625966001} is an apocalyptic number.

It is an amenable number.

3837625966001 is a deficient number, since it is larger than the sum of its proper divisors (3924403).

3837625966001 is a wasteful number, since it uses less digits than its factorization.

3837625966001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924402.

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 3837625966001 in words is "three trillion, eight hundred thirty-seven billion, six hundred twenty-five million, nine hundred sixty-six thousand, one".