3879257193889 has 27 divisors (see below), whose sum is σ = 4960330334001. Its totient is φ = 3022679638440.

The previous prime is 3879257193869. The next prime is 3879257193893. The reversal of 3879257193889 is 9883917529783.

The square root of 3879257193889 is 1969583.

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

It is not a de Polignac number, because 3879257193889 - 2²¹ = 3879255096737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3879257193869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 151645102 + ... + 151670680.

Almost surely, 2^{3879257193889} is an apocalyptic number.

3879257193889 is the 1969583-rd square number.

3879257193889 is the 984792-nd centered octagonal number.

It is an amenable number.

3879257193889 is a deficient number, since it is larger than the sum of its proper divisors (1081073140112).

3879257193889 is an frugal number, since it uses more digits than its factorization.

3879257193889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51194 (or 25597 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 79.

The spelling of 3879257193889 in words is "three trillion, eight hundred seventy-nine billion, two hundred fifty-seven million, one hundred ninety-three thousand, eight hundred eighty-nine".