3229212029472 has 576 divisors, whose sum is σ = 11182945536000. Its totient is φ = 898648058880.

The previous prime is 3229212029453. The next prime is 3229212029513. The reversal of 3229212029472 is 2749202129223.

3229212029472 is a `hidden beast` number, since 3 + 2 + 292 + 1 + 2 + 0 + 294 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319623973 + ... + 319634075.

It is an arithmetic number, because the mean of its divisors is an integer number (19414836000).

Almost surely, 2^{3229212029472} is an apocalyptic number.

3229212029472 is a gapful number since it is divisible by the number (32) 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 3229212029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591472768000).

3229212029472 is an abundant number, since it is smaller than the sum of its proper divisors (7953733506528).

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

3229212029472 is a wasteful number, since it uses less digits than its factorization.

3229212029472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10358 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3229212029472 in words is "three trillion, two hundred twenty-nine billion, two hundred twelve million, twenty-nine thousand, four hundred seventy-two".