34263853824 has 144 divisors (see below), whose sum is σ = 93405910752. Its totient is φ = 11146297344.

The previous prime is 34263853807. The next prime is 34263853867. The reversal of 34263853824 is 42835836243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8016552 + ... + 8020824.

It is an arithmetic number, because the mean of its divisors is an integer number (648652158).

Almost surely, 2^34263853824 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 34263853824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702955376).

34263853824 is an abundant number, since it is smaller than the sum of its proper divisors (59142056928).

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

34263853824 is a wasteful number, since it uses less digits than its factorization.

34263853824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4528 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 34263853824 in words is "thirty-four billion, two hundred sixty-three million, eight hundred fifty-three thousand, eight hundred twenty-four".