3442467168 has 576 divisors, whose sum is σ = 12539197440. Its totient is φ = 914457600.

The previous prime is 3442467167. The next prime is 3442467181. The reversal of 3442467168 is 8617642443.

3442467168 is a `hidden beast` number, since 3 + 4 + 424 + 67 + 168 = 666.

3442467168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (774144) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442467167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56433858 + ... + 56433918.

It is an arithmetic number, because the mean of its divisors is an integer number (21769440).

Almost surely, 2^3442467168 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 3442467168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269598720).

3442467168 is an abundant number, since it is smaller than the sum of its proper divisors (9096730272).

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

3442467168 is a wasteful number, since it uses less digits than its factorization.

3442467168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3442467168 is about 58672.5418573288. The cubic root of 3442467168 is about 1509.9292641162.

The spelling of 3442467168 in words is "three billion, four hundred forty-two million, four hundred sixty-seven thousand, one hundred sixty-eight".