3229062144 has 528 divisors, whose sum is σ = 11604426624. Its totient is φ = 778567680.

The previous prime is 3229062139. The next prime is 3229062173. The reversal of 3229062144 is 4412609223.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44233692 + ... + 44233764.

Almost surely, 2^3229062144 is an apocalyptic number.

3229062144 is a gapful number since it is divisible by the number (34) 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 3229062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802213312).

3229062144 is an abundant number, since it is smaller than the sum of its proper divisors (8375364480).

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

3229062144 is a wasteful number, since it uses less digits than its factorization.

3229062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3229062144 is about 56824.8373864809. The cubic root of 3229062144 is about 1478.0602393837.

The spelling of 3229062144 in words is "three billion, two hundred twenty-nine million, sixty-two thousand, one hundred forty-four".