3837136417321 has 3 divisors (see below), whose sum is σ = 3837138376183. Its totient is φ = 3837134458460.

The previous prime is 3837136417297. The next prime is 3837136417327. The reversal of 3837136417321 is 1237146317383.

The square root of 3837136417321 is 1958861.

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

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 only one way, i.e., 3715684167321 + 121452250000 = 1927611^2 + 348500^2 .

It is not a de Polignac number, because 3837136417321 - 2⁹ = 3837136416809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3837136417327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 979431 + ... + 2938291.

Almost surely, 2^{3837136417321} is an apocalyptic number.

3837136417321 is the 1958861-st square number.

3837136417321 is the 979431-st centered octagonal number.

It is an amenable number.

3837136417321 is a deficient number, since it is larger than the sum of its proper divisors (1958862).

3837136417321 is an frugal number, since it uses more digits than its factorization.

3837136417321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917722 (or 1958861 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 49.

Multiplying 3837136417321 by its sum of digits (49), we get a square (188019684448729 = 13712027²).

The spelling of 3837136417321 in words is "three trillion, eight hundred thirty-seven billion, one hundred thirty-six million, four hundred seventeen thousand, three hundred twenty-one".