34512425420000 has 240 divisors, whose sum is σ = 92920557490992. Its totient is φ = 12509852160000.

The previous prime is 34512425419811. The next prime is 34512425420047. The reversal of 34512425420000 is 2452421543.

It is a super-2 number, since 2×34512425420000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 68609402 + ... + 69110598.

Almost surely, 2^{34512425420000} 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 34512425420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46460278745496).

34512425420000 is an abundant number, since it is smaller than the sum of its proper divisors (58408132070992).

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

34512425420000 is a wasteful number, since it uses less digits than its factorization.

34512425420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501551 (or 501528 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 34512425420000 its reverse (2452421543), we get a palindrome (34514877841543).

The spelling of 34512425420000 in words is "thirty-four trillion, five hundred twelve billion, four hundred twenty-five million, four hundred twenty thousand".