34349112000 has 1344 divisors, whose sum is σ = 157253391360. Its totient is φ = 6967296000.

The previous prime is 34349111977. The next prime is 34349112011. The reversal of 34349112000 is 21194343.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×34349112000² (a number of 22 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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162791895 + ... + 162792105.

Almost surely, 2^34349112000 is an apocalyptic number.

34349112000 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 34349112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78626695680).

34349112000 is an abundant number, since it is smaller than the sum of its proper divisors (122904279360).

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

34349112000 is a wasteful number, since it uses less digits than its factorization.

34349112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 34349112000 in words is "thirty-four billion, three hundred forty-nine million, one hundred twelve thousand".