34285754752 has 64 divisors (see below), whose sum is σ = 72104065200. Its totient is φ = 16194207744.

The previous prime is 34285754693. The next prime is 34285754753. The reversal of 34285754752 is 25745758243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 34285754752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34285754753) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 838528 + ... + 878464.

Almost surely, 2^34285754752 is an apocalyptic number.

34285754752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34285754752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36052032600).

34285754752 is an abundant number, since it is smaller than the sum of its proper divisors (37818310448).

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

34285754752 is a wasteful number, since it uses less digits than its factorization.

34285754752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40323 (or 40311 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 52.

The spelling of 34285754752 in words is "thirty-four billion, two hundred eighty-five million, seven hundred fifty-four thousand, seven hundred fifty-two".