3229438464 has 320 divisors, whose sum is σ = 11407841280. Its totient is φ = 881971200.

The previous prime is 3229438447. The next prime is 3229438469. The reversal of 3229438464 is 4648349223.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3229438469) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2224939 + ... + 2226389.

It is an arithmetic number, because the mean of its divisors is an integer number (35649504).

Almost surely, 2^3229438464 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 3229438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703920640).

3229438464 is an abundant number, since it is smaller than the sum of its proper divisors (8178402816).

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

3229438464 is a wasteful number, since it uses less digits than its factorization.

3229438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1486 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3229438464 is about 56828.1485181420. The cubic root of 3229438464 is about 1478.1176556446.

The spelling of 3229438464 in words is "three billion, two hundred twenty-nine million, four hundred thirty-eight thousand, four hundred sixty-four".