3148642224 has 480 divisors, whose sum is σ = 11716583424. Its totient is φ = 766402560.

The previous prime is 3148642219. The next prime is 3148642229. The reversal of 3148642224 is 4222468413.

3148642224 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 642 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3148642219) and next prime (3148642229).

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 not an unprimeable number, because it can be changed into a prime (3148642229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9342984 + ... + 9343320.

Almost surely, 2^3148642224 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 3148642224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858291712).

3148642224 is an abundant number, since it is smaller than the sum of its proper divisors (8567941200).

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

3148642224 is a wasteful number, since it uses less digits than its factorization.

3148642224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 3148642224 is about 56112.7634678600. The cubic root of 3148642224 is about 1465.6865584981.

The spelling of 3148642224 in words is "three billion, one hundred forty-eight million, six hundred forty-two thousand, two hundred twenty-four".