3889079805625 has 135 divisors (see below), whose sum is σ = 5780937243081. Its totient is φ = 2607871980000.

The previous prime is 3889079805619. The next prime is 3889079805631. The reversal of 3889079805625 is 5265089709883.

The square root of 3889079805625 is 1972075.

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

It is an interprime number because it is at equal distance from previous prime (3889079805619) and next prime (3889079805631).

It can be written as a sum of positive squares in 2 ways, for example, as 304903856761 + 3584175948864 = 552181^2 + 1893192^2 .

It is not a de Polignac number, because 3889079805625 - 2²³ = 3889071417017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 20361674280 + ... + 20361674470.

Almost surely, 2^{3889079805625} is an apocalyptic number.

3889079805625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3889079805625 is the 1972075-th square number.

3889079805625 is the 986038-th centered octagonal number.

It is an amenable number.

3889079805625 is a deficient number, since it is larger than the sum of its proper divisors (1891857437456).

3889079805625 is an frugal number, since it uses more digits than its factorization.

3889079805625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 70.

The spelling of 3889079805625 in words is "three trillion, eight hundred eighty-nine billion, seventy-nine million, eight hundred five thousand, six hundred twenty-five".