3219729552 has 120 divisors (see below), whose sum is σ = 10274826744. Its totient is φ = 932401152.

The previous prime is 3219729547. The next prime is 3219729571. The reversal of 3219729552 is 2559279123.

3219729552 is a `hidden beast` number, since 3 + 2 + 1 + 97 + 2 + 9 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1386519696 + 1833209856 = 37236^2 + 42816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3219729498 and 3219729507.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18763 + ... + 82410.

Almost surely, 2^3219729552 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 3219729552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137413372).

3219729552 is an abundant number, since it is smaller than the sum of its proper divisors (7055097192).

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

3219729552 is a wasteful number, since it uses less digits than its factorization.

3219729552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101217 (or 101208 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 3219729552 is about 56742.6607765269. The cubic root of 3219729552 is about 1476.6349087320.

The spelling of 3219729552 in words is "three billion, two hundred nineteen million, seven hundred twenty-nine thousand, five hundred fifty-two".