34029811200 has 960 divisors, whose sum is σ = 148617773568. Its totient is φ = 6645350400.

The previous prime is 34029811139. The next prime is 34029811213. The reversal of 34029811200 is 211892043.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 50265262 + ... + 50265938.

Almost surely, 2^34029811200 is an apocalyptic number.

34029811200 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 34029811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74308886784).

34029811200 is an abundant number, since it is smaller than the sum of its proper divisors (114587962368).

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

34029811200 is a wasteful number, since it uses less digits than its factorization.

34029811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 34029811200 in words is "thirty-four billion, twenty-nine million, eight hundred eleven thousand, two hundred".