34324320400 has 60 divisors (see below), whose sum is σ = 82553840100. Its totient is φ = 13714800640.

The previous prime is 34324320367. The next prime is 34324320449. The reversal of 34324320400 is 402342343.

It can be written as a sum of positive squares in 6 ways, for example, as 5391671184 + 28932649216 = 73428^2 + 170096^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 325416 + ... + 417784.

It is an arithmetic number, because the mean of its divisors is an integer number (1375897335).

Almost surely, 2^34324320400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34324320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41276920050).

34324320400 is an abundant number, since it is smaller than the sum of its proper divisors (48229519700).

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

34324320400 is a wasteful number, since it uses less digits than its factorization.

34324320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93316 (or 93305 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 34324320400 its reverse (402342343), we get a palindrome (34726662743).

The spelling of 34324320400 in words is "thirty-four billion, three hundred twenty-four million, three hundred twenty thousand, four hundred".