3412263168 has 108 divisors (see below), whose sum is σ = 10048042368. Its totient is φ = 1113185280.

The previous prime is 3412263157. The next prime is 3412263193. The reversal of 3412263168 is 8613622143.

3412263168 is a `hidden beast` number, since 3 + 4 + 12 + 2 + 631 + 6 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92533 + ... + 124043.

Almost surely, 2^3412263168 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 3412263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024021184).

3412263168 is an abundant number, since it is smaller than the sum of its proper divisors (6635779200).

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

3412263168 is a wasteful number, since it uses less digits than its factorization.

3412263168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31580 (or 31563 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3412263168 is about 58414.5800977804. The cubic root of 3412263168 is about 1505.5002759908.

The spelling of 3412263168 in words is "three billion, four hundred twelve million, two hundred sixty-three thousand, one hundred sixty-eight".