34345344000 has 704 divisors, whose sum is σ = 128018921472. Its totient is φ = 8101888000.

The previous prime is 34345343993. The next prime is 34345344031. The reversal of 34345344000 is 44354343.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198527914 + ... + 198528086.

Almost surely, 2^34345344000 is an apocalyptic number.

34345344000 is a gapful number since it is divisible by the number (30) 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 34345344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64009460736).

34345344000 is an abundant number, since it is smaller than the sum of its proper divisors (93673577472).

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

34345344000 is a wasteful number, since it uses less digits than its factorization.

34345344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 34345344000 its reverse (44354343), we get a palindrome (34389698343).

The spelling of 34345344000 in words is "thirty-four billion, three hundred forty-five million, three hundred forty-four thousand".