3229869760 has 112 divisors (see below), whose sum is σ = 8643128256. Its totient is φ = 1140682752.

The previous prime is 3229869683. The next prime is 3229869761. The reversal of 3229869760 is 679689223.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3229869698 and 3229869707.

It is not an unprimeable number, because it can be changed into a prime (3229869761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78802 + ... + 112558.

It is an arithmetic number, because the mean of its divisors is an integer number (77170788).

Almost surely, 2^3229869760 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 3229869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321564128).

3229869760 is an abundant number, since it is smaller than the sum of its proper divisors (5413258496).

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

3229869760 is a wasteful number, since it uses less digits than its factorization.

3229869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33810 (or 33800 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 3229869760 is about 56831.9431306022. The cubic root of 3229869760 is about 1478.1834542720.

The spelling of 3229869760 in words is "three billion, two hundred twenty-nine million, eight hundred sixty-nine thousand, seven hundred sixty".