34334475997824 has 768 divisors, whose sum is σ = 107857448899200. Its totient is φ = 10446763622400.

The previous prime is 34334475997807. The next prime is 34334475997859. The reversal of 34334475997824 is 42879957443343.

34334475997824 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 4 + 4 + 7 + 599 + 7 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48979280674 + ... + 48979281374.

Almost surely, 2^{34334475997824} 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 34334475997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53928724449600).

34334475997824 is an abundant number, since it is smaller than the sum of its proper divisors (73522972901376).

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

34334475997824 is a wasteful number, since it uses less digits than its factorization.

34334475997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1266 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 72.

The spelling of 34334475997824 in words is "thirty-four trillion, three hundred thirty-four billion, four hundred seventy-five million, nine hundred ninety-seven thousand, eight hundred twenty-four".