3850505610112 has 128 divisors (see below), whose sum is σ = 8816360371200. Its totient is φ = 1640909783040.

The previous prime is 3850505610101. The next prime is 3850505610137. The reversal of 3850505610112 is 2110165050583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3850505610112³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113530437 + ... + 113564347.

It is an arithmetic number, because the mean of its divisors is an integer number (68877815400).

Almost surely, 2^{3850505610112} is an apocalyptic number.

3850505610112 is a gapful number since it is divisible by the number (32) 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 3850505610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408180185600).

3850505610112 is an abundant number, since it is smaller than the sum of its proper divisors (4965854761088).

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

3850505610112 is a wasteful number, since it uses less digits than its factorization.

3850505610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34644 (or 34632 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The spelling of 3850505610112 in words is "three trillion, eight hundred fifty billion, five hundred five million, six hundred ten thousand, one hundred twelve".