3889588617616 has 405 divisors, whose sum is σ = 9156295164681. Its totient is φ = 1599473221632.

The previous prime is 3889588617601. The next prime is 3889588617631. The reversal of 3889588617616 is 6167168859883.

The square root of 3889588617616 is 1972204.

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 (3889588617601) and next prime (3889588617631).

It can be written as a sum of positive squares in 13 ways, for example, as 2505445779600 + 1384142838016 = 1582860^2 + 1176496^2 .

It is a super-2 number, since 2×3889588617616² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40098851680 + ... + 40098851776.

Almost surely, 2^{3889588617616} is an apocalyptic number.

3889588617616 is the 1972204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3889588617616

3889588617616 is an abundant number, since it is smaller than the sum of its proper divisors (5266706547065).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3889588617616 is a wasteful number, since it uses less digits than its factorization.

3889588617616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 152 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 76.

The spelling of 3889588617616 in words is "three trillion, eight hundred eighty-nine billion, five hundred eighty-eight million, six hundred seventeen thousand, six hundred sixteen".