3433324570368 has 1152 divisors, whose sum is σ = 11989694545920. Its totient is φ = 846668021760.

The previous prime is 3433324570217. The next prime is 3433324570373. The reversal of 3433324570368 is 8630754233343.

It is a super-2 number, since 2×3433324570368² (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 3433324570368.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 19180584103 + ... + 19180584281.

It is an arithmetic number, because the mean of its divisors is an integer number (10407720960).

Almost surely, 2^{3433324570368} 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 3433324570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994847272960).

3433324570368 is an abundant number, since it is smaller than the sum of its proper divisors (8556369975552).

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

3433324570368 is a wasteful number, since it uses less digits than its factorization.

3433324570368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 51.

The spelling of 3433324570368 in words is "three trillion, four hundred thirty-three billion, three hundred twenty-four million, five hundred seventy thousand, three hundred sixty-eight".