10344395880 has 576 divisors, whose sum is σ = 42724281600. Its totient is φ = 2151152640.

The previous prime is 10344395851. The next prime is 10344395927. The reversal of 10344395880 is 8859344301.

10344395880 is a `hidden beast` number, since 1 + 0 + 34 + 4 + 39 + 588 + 0 = 666.

It is a super-2 number, since 2×10344395880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18115995 + ... + 18116565.

It is an arithmetic number, because the mean of its divisors is an integer number (74174100).

Almost surely, 2^10344395880 is an apocalyptic number.

10344395880 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 10344395880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21362140800).

10344395880 is an abundant number, since it is smaller than the sum of its proper divisors (32379885720).

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

10344395880 is a wasteful number, since it uses less digits than its factorization.

10344395880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10344395880 in words is "ten billion, three hundred forty-four million, three hundred ninety-five thousand, eight hundred eighty".