3855505039936 has 189 divisors, whose sum is σ = 8591593113579. Its totient is φ = 1715352038400.

The previous prime is 3855505039901. The next prime is 3855505039961. The reversal of 3855505039936 is 6399305055583.

The square root of 3855505039936 is 1963544.

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

It can be written as a sum of positive squares in 4 ways, for example, as 846473601600 + 3009031438336 = 920040^2 + 1734656^2 .

It is a super-2 number, since 2×3855505039936² (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 (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9157969006 + ... + 9157969426.

Almost surely, 2^{3855505039936} is an apocalyptic number.

3855505039936 is the 1963544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3855505039936

3855505039936 is an abundant number, since it is smaller than the sum of its proper divisors (4736088073643).

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

3855505039936 is an frugal number, since it uses more digits than its factorization.

3855505039936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 65610000, while the sum is 61.

The spelling of 3855505039936 in words is "three trillion, eight hundred fifty-five billion, five hundred five million, thirty-nine thousand, nine hundred thirty-six".