3887785161120 has 1152 divisors, whose sum is σ = 15505055354880. Its totient is φ = 800124272640.

The previous prime is 3887785161083. The next prime is 3887785161131. The reversal of 3887785161120 is 211615877883.

It is a happy number.

It is a super-2 number, since 2×3887785161120² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 2664690951 + ... + 2664692409.

It is an arithmetic number, because the mean of its divisors is an integer number (13459249440).

Almost surely, 2^{3887785161120} is an apocalyptic number.

3887785161120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3887785161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752527677440).

3887785161120 is an abundant number, since it is smaller than the sum of its proper divisors (11617270193760).

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

3887785161120 is a wasteful number, since it uses less digits than its factorization.

3887785161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 3887785161120 in words is "three trillion, eight hundred eighty-seven billion, seven hundred eighty-five million, one hundred sixty-one thousand, one hundred twenty".