3229413120 has 216 divisors, whose sum is σ = 11238042816. Its totient is φ = 856203264.

The previous prime is 3229413073. The next prime is 3229413163. The reversal of 3229413120 is 213149223.

It is a happy number.

3229413120 is a `hidden beast` number, since 3 + 229 + 413 + 1 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2268729 + ... + 2270151.

It is an arithmetic number, because the mean of its divisors is an integer number (52027976).

Almost surely, 2^3229413120 is an apocalyptic number.

3229413120 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 3229413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619021408).

3229413120 is an abundant number, since it is smaller than the sum of its proper divisors (8008629696).

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

3229413120 is a wasteful number, since it uses less digits than its factorization.

3229413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3229413120 is about 56827.9255296197. The cubic root of 3229413120 is about 1478.1137889752.

The spelling of 3229413120 in words is "three billion, two hundred twenty-nine million, four hundred thirteen thousand, one hundred twenty".