34342805502720 has 4320 divisors, whose sum is σ = 155168212598784. Its totient is φ = 7173527961600.

The previous prime is 34342805502617. The next prime is 34342805502721. The reversal of 34342805502720 is 2720550824343.

34342805502720 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 28 + 0 + 550 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×34342805502720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34342805502721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 270415791297 + ... + 270415791423.

Almost surely, 2^{34342805502720} is an apocalyptic number.

34342805502720 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 34342805502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77584106299392).

34342805502720 is an abundant number, since it is smaller than the sum of its proper divisors (120825407096064).

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

34342805502720 is a wasteful number, since it uses less digits than its factorization.

34342805502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 34342805502720 in words is "thirty-four trillion, three hundred forty-two billion, eight hundred five million, five hundred two thousand, seven hundred twenty".