3229079040 has 640 divisors, whose sum is σ = 13010595840. Its totient is φ = 752025600.

The previous prime is 3229079011. The next prime is 3229079041. The reversal of 3229079040 is 409709223.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3229078986 and 3229079004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3229079041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23569852 + ... + 23569988.

It is an arithmetic number, because the mean of its divisors is an integer number (20329056).

Almost surely, 2^3229079040 is an apocalyptic number.

3229079040 is a gapful number since it is divisible by the number (30) 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 3229079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505297920).

3229079040 is an abundant number, since it is smaller than the sum of its proper divisors (9781516800).

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

3229079040 is a wasteful number, since it uses less digits than its factorization.

3229079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3229079040 is about 56824.9860536718. The cubic root of 3229079040 is about 1478.0628173523.

The spelling of 3229079040 in words is "three billion, two hundred twenty-nine million, seventy-nine thousand, forty".