34312423200 has 288 divisors, whose sum is σ = 122368542912. Its totient is φ = 8282112000.

The previous prime is 34312423199. The next prime is 34312423207. The reversal of 34312423200 is 232421343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34312423207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6359704 + ... + 6365096.

It is an arithmetic number, because the mean of its divisors is an integer number (424890774).

Almost surely, 2^34312423200 is an apocalyptic number.

34312423200 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 34312423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61184271456).

34312423200 is an abundant number, since it is smaller than the sum of its proper divisors (88056119712).

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

34312423200 is a wasteful number, since it uses less digits than its factorization.

34312423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34312423200 its reverse (232421343), we get a palindrome (34544844543).

The spelling of 34312423200 in words is "thirty-four billion, three hundred twelve million, four hundred twenty-three thousand, two hundred".