34313149200 has 240 divisors, whose sum is σ = 121943980800. Its totient is φ = 8177164800.

The previous prime is 34313149151. The next prime is 34313149201. The reversal of 34313149200 is 294131343.

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

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

It is not an unprimeable number, because it can be changed into a prime (34313149201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756771 + ... + 800829.

It is an arithmetic number, because the mean of its divisors is an integer number (508099920).

Almost surely, 2^34313149200 is an apocalyptic number.

34313149200 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 34313149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60971990400).

34313149200 is an abundant number, since it is smaller than the sum of its proper divisors (87630831600).

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

34313149200 is a wasteful number, since it uses less digits than its factorization.

34313149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44150 (or 44139 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 34313149200 in words is "thirty-four billion, three hundred thirteen million, one hundred forty-nine thousand, two hundred".