10345334000 has 80 divisors (see below), whose sum is σ = 25038564096. Its totient is φ = 4134240000.

The previous prime is 10345333963. The next prime is 10345334023. The reversal of 10345334000 is 43354301.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 3132350 + ... + 3135650.

Almost surely, 2^10345334000 is an apocalyptic number.

10345334000 is a gapful number since it is divisible by the number (10) 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 10345334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519282048).

10345334000 is an abundant number, since it is smaller than the sum of its proper divisors (14693230096).

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

10345334000 is a wasteful number, since it uses less digits than its factorization.

10345334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 10345334000 its reverse (43354301), we get a palindrome (10388688301).

The spelling of 10345334000 in words is "ten billion, three hundred forty-five million, three hundred thirty-four thousand".