3219877248 has 256 divisors, whose sum is σ = 10688163840. Its totient is φ = 837550080.

The previous prime is 3219877229. The next prime is 3219877261. The reversal of 3219877248 is 8427789123.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 3219877248.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1415440 + ... + 1417712.

It is an arithmetic number, because the mean of its divisors is an integer number (41750640).

Almost surely, 2^3219877248 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 3219877248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344081920).

3219877248 is an abundant number, since it is smaller than the sum of its proper divisors (7468286592).

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

3219877248 is a wasteful number, since it uses less digits than its factorization.

3219877248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2333 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 3219877248 is about 56743.9622162570. The cubic root of 3219877248 is about 1476.6574872054.

The spelling of 3219877248 in words is "three billion, two hundred nineteen million, eight hundred seventy-seven thousand, two hundred forty-eight".