10345339000 has 64 divisors (see below), whose sum is σ = 24549220800. Its totient is φ = 4079824000.

The previous prime is 10345338973. The next prime is 10345339057. The reversal of 10345339000 is 93354301.

It is a self number, because there is not a number n which added to its sum of digits gives 10345339000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1855 + ... + 143854.

It is an arithmetic number, because the mean of its divisors is an integer number (383581575).

Almost surely, 2^10345339000 is an apocalyptic number.

10345339000 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 10345339000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12274610400).

10345339000 is an abundant number, since it is smaller than the sum of its proper divisors (14203881800).

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

10345339000 is a wasteful number, since it uses less digits than its factorization.

10345339000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145801 (or 145787 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The spelling of 10345339000 in words is "ten billion, three hundred forty-five million, three hundred thirty-nine thousand".