3219770112 has 288 divisors, whose sum is σ = 9713872896. Its totient is φ = 940032000.

The previous prime is 3219770111. The next prime is 3219770119. The reversal of 3219770112 is 2110779123.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3219770111) 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 31 ways as a sum of consecutive naturals, for example, 31259853 + ... + 31259955.

Almost surely, 2^3219770112 is an apocalyptic number.

3219770112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3219770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856936448).

3219770112 is an abundant number, since it is smaller than the sum of its proper divisors (6494102784).

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

3219770112 is a wasteful number, since it uses less digits than its factorization.

3219770112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 3219770112 is about 56743.0181784508. The cubic root of 3219770112 is about 1476.6411092590.

The spelling of 3219770112 in words is "three billion, two hundred nineteen million, seven hundred seventy thousand, one hundred twelve".