3141705168 has 360 divisors, whose sum is σ = 10796737536. Its totient is φ = 849139200.

The previous prime is 3141705167. The next prime is 3141705223. The reversal of 3141705168 is 8615071413.

3141705168 is a `hidden beast` number, since 31 + 41 + 70 + 516 + 8 = 666.

3141705168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3141705168² = 19740622725275816448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141705163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11592873 + ... + 11593143.

Almost surely, 2^3141705168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141705168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398368768).

3141705168 is an abundant number, since it is smaller than the sum of its proper divisors (7655032368).

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

3141705168 is a wasteful number, since it uses less digits than its factorization.

3141705168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 3141705168 is about 56050.9158533560. The cubic root of 3141705168 is about 1464.6093718700.

The spelling of 3141705168 in words is "three billion, one hundred forty-one million, seven hundred five thousand, one hundred sixty-eight".