3343029472224 has 576 divisors, whose sum is σ = 10996669651968. Its totient is φ = 955448524800.

The previous prime is 3343029472213. The next prime is 3343029472253. The reversal of 3343029472224 is 4222749203433.

3343029472224 is a `hidden beast` number, since 3 + 34 + 302 + 94 + 7 + 2 + 224 = 666.

It is a super-2 number, since 2×3343029472224² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3343029472224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409630704 + ... + 409638864.

It is an arithmetic number, because the mean of its divisors is an integer number (19091440368).

Almost surely, 2^{3343029472224} 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 3343029472224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498334825984).

3343029472224 is an abundant number, since it is smaller than the sum of its proper divisors (7653640179744).

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

3343029472224 is a wasteful number, since it uses less digits than its factorization.

3343029472224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 3343029472224 in words is "three trillion, three hundred forty-three billion, twenty-nine million, four hundred seventy-two thousand, two hundred twenty-four".