34514314800 has 240 divisors, whose sum is σ = 127164932352. Its totient is φ = 7838438400.

The previous prime is 34514314799. The next prime is 34514314817. The reversal of 34514314800 is 841341543.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×34514314800² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1305715 + ... + 1331885.

Almost surely, 2^34514314800 is an apocalyptic number.

34514314800 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 34514314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63582466176).

34514314800 is an abundant number, since it is smaller than the sum of its proper divisors (92650617552).

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

34514314800 is a wasteful number, since it uses less digits than its factorization.

34514314800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26356 (or 26345 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 34514314800 in words is "thirty-four billion, five hundred fourteen million, three hundred fourteen thousand, eight hundred".