10344342000 has 160 divisors (see below), whose sum is σ = 34800629760. Its totient is φ = 2638521600.

The previous prime is 10344341989. The next prime is 10344342031. The reversal of 10344342000 is 24344301.

It is a super-2 number, since 2×10344342000² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 100521 + ... + 175479.

It is an arithmetic number, because the mean of its divisors is an integer number (217503936).

Almost surely, 2^10344342000 is an apocalyptic number.

10344342000 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 10344342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400314880).

10344342000 is an abundant number, since it is smaller than the sum of its proper divisors (24456287760).

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

10344342000 is a wasteful number, since it uses less digits than its factorization.

10344342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75008 (or 74992 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10344342000 its reverse (24344301), we get a palindrome (10368686301).

The spelling of 10344342000 in words is "ten billion, three hundred forty-four million, three hundred forty-two thousand".