3183867648 has 432 divisors, whose sum is σ = 10666213376. Its totient is φ = 940584960.

The previous prime is 3183867647. The next prime is 3183867691. The reversal of 3183867648 is 8467683813.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3183867594 and 3183867603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3183867641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25069761 + ... + 25069887.

Almost surely, 2^3183867648 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 3183867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333106688).

3183867648 is an abundant number, since it is smaller than the sum of its proper divisors (7482345728).

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

3183867648 is a wasteful number, since it uses less digits than its factorization.

3183867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3183867648 is about 56425.7711334103. The cubic root of 3183867648 is about 1471.1320891880.

The spelling of 3183867648 in words is "three billion, one hundred eighty-three million, eight hundred sixty-seven thousand, six hundred forty-eight".