3148467168 has 288 divisors, whose sum is σ = 10648205568. Its totient is φ = 805324800.

The previous prime is 3148467131. The next prime is 3148467187. The reversal of 3148467168 is 8617648413.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3673396 + ... + 3674252.

It is an arithmetic number, because the mean of its divisors is an integer number (36972936).

Almost surely, 2^3148467168 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 3148467168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324102784).

3148467168 is an abundant number, since it is smaller than the sum of its proper divisors (7499738400).

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

3148467168 is a wasteful number, since it uses less digits than its factorization.

3148467168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 951 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 3148467168 is about 56111.2035871625. The cubic root of 3148467168 is about 1465.6593952573.

The spelling of 3148467168 in words is "three billion, one hundred forty-eight million, four hundred sixty-seven thousand, one hundred sixty-eight".