3319552872 has 192 divisors, whose sum is σ = 9915048000. Its totient is φ = 999032832.

The previous prime is 3319552861. The next prime is 3319552877. The reversal of 3319552872 is 2782559133.

3319552872 is a `hidden beast` number, since 3 + 3 + 19 + 552 + 87 + 2 = 666.

It is a super-2 number, since 2×3319552872² = 22038862540006896768, which contains 22 as substring.

Its product of digits (453600) is a multiple of the sum of its prime factors (1200).

It is not an unprimeable number, because it can be changed into a prime (3319552877) 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, 3104754 + ... + 3105822.

It is an arithmetic number, because the mean of its divisors is an integer number (51640875).

Almost surely, 2^3319552872 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 3319552872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957524000).

3319552872 is an abundant number, since it is smaller than the sum of its proper divisors (6595495128).

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

3319552872 is a wasteful number, since it uses less digits than its factorization.

3319552872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1193 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 3319552872 is about 57615.5610230431. The cubic root of 3319552872 is about 1491.7402114123.

The spelling of 3319552872 in words is "three billion, three hundred nineteen million, five hundred fifty-two thousand, eight hundred seventy-two".