3324344067072 has 704 divisors, whose sum is σ = 11411656212480. Its totient is φ = 936404582400.

The previous prime is 3324344067049. The next prime is 3324344067101. The reversal of 3324344067072 is 2707604434233.

3324344067072 is a `hidden beast` number, since 3 + 32 + 43 + 440 + 6 + 70 + 72 = 666.

It is a super-2 number, since 2×3324344067072² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5186183872 + ... + 5186184512.

Almost surely, 2^{3324344067072} is an apocalyptic number.

3324344067072 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 3324344067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705828106240).

3324344067072 is an abundant number, since it is smaller than the sum of its proper divisors (8087312145408).

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

3324344067072 is a wasteful number, since it uses less digits than its factorization.

3324344067072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 45.

The spelling of 3324344067072 in words is "three trillion, three hundred twenty-four billion, three hundred forty-four million, sixty-seven thousand, seventy-two".