34012352000000 has 364 divisors, whose sum is σ = 92750369186328. Its totient is φ = 12367872000000.

The previous prime is 34012351999993. The next prime is 34012352000017. The reversal of 34012352000000 is 25321043.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 703975844 + ... + 704024156.

Almost surely, 2^{34012352000000} 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 34012352000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46375184593164).

34012352000000 is an abundant number, since it is smaller than the sum of its proper divisors (58738017186328).

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

34012352000000 is an frugal number, since it uses more digits than its factorization.

34012352000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48378 (or 48331 counting only the distinct ones).

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

Adding to 34012352000000 its reverse (25321043), we get a palindrome (34012377321043).

The spelling of 34012352000000 in words is "thirty-four trillion, twelve billion, three hundred fifty-two million", and thus it is an aban number.