34305535440000 has 960 divisors, whose sum is σ = 135116011910880. Its totient is φ = 8282880000000.

The previous prime is 34305535439993. The next prime is 34305535440019. The reversal of 34305535440000 is 4453550343.

34305535440000 is a `hidden beast` number, since 34 + 30 + 5 + 53 + 544 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 1987911372 + ... + 1987928628.

Almost surely, 2^{34305535440000} is an apocalyptic number.

34305535440000 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 34305535440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67558005955440).

34305535440000 is an abundant number, since it is smaller than the sum of its proper divisors (100810476470880).

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

34305535440000 is a wasteful number, since it uses less digits than its factorization.

34305535440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17559 (or 17529 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 34305535440000 its reverse (4453550343), we get a palindrome (34309988990343).

The spelling of 34305535440000 in words is "thirty-four trillion, three hundred five billion, five hundred thirty-five million, four hundred forty thousand".