3424716523008 has 640 divisors, whose sum is σ = 11193425717760. Its totient is φ = 1025267466240.

The previous prime is 3424716522937. The next prime is 3424716523051. The reversal of 3424716523008 is 8003256174243.

3424716523008 is a `hidden beast` number, since 34 + 24 + 71 + 6 + 523 + 0 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5775238360 + ... + 5775238952.

It is an arithmetic number, because the mean of its divisors is an integer number (17489727684).

Almost surely, 2^{3424716523008} 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 3424716523008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596712858880).

3424716523008 is an abundant number, since it is smaller than the sum of its proper divisors (7768709194752).

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

3424716523008 is a wasteful number, since it uses less digits than its factorization.

3424716523008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3424716523008 in words is "three trillion, four hundred twenty-four billion, seven hundred sixteen million, five hundred twenty-three thousand, eight".