34305213040000 has 640 divisors, whose sum is σ = 100415607969600. Its totient is φ = 11423711232000.

The previous prime is 34305213039931. The next prime is 34305213040069. The reversal of 34305213040000 is 4031250343.

It is an interprime number because it is at equal distance from previous prime (34305213039931) and next prime (34305213040069).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 15933678924 + ... + 15933681076.

Almost surely, 2^{34305213040000} 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 34305213040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50207803984800).

34305213040000 is an abundant number, since it is smaller than the sum of its proper divisors (66110394929600).

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

34305213040000 is an equidigital number, since it uses as much as digits as its factorization.

34305213040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 34305213040000 its reverse (4031250343), we get a palindrome (34309244290343).

The spelling of 34305213040000 in words is "thirty-four trillion, three hundred five billion, two hundred thirteen million, forty thousand".