34052021300 has 288 divisors, whose sum is σ = 86520462336. Its totient is φ = 11515392000.

The previous prime is 34052021287. The next prime is 34052021303. The reversal of 34052021300 is 312025043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34052021303) 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 95 ways as a sum of consecutive naturals, for example, 172852802 + ... + 172852998.

It is an arithmetic number, because the mean of its divisors is an integer number (300418272).

Almost surely, 2^34052021300 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 34052021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43260231168).

34052021300 is an abundant number, since it is smaller than the sum of its proper divisors (52468441036).

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

34052021300 is a wasteful number, since it uses less digits than its factorization.

34052021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 34052021300 its reverse (312025043), we get a palindrome (34364046343).

The spelling of 34052021300 in words is "thirty-four billion, fifty-two million, twenty-one thousand, three hundred".