34035052000000 has 252 divisors, whose sum is σ = 85442976784648. Its totient is φ = 13530240000000.

The previous prime is 34035051999979. The next prime is 34035052000013. The reversal of 34035052000000 is 25053043.

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 27 ways as a sum of consecutive naturals, for example, 651973900 + ... + 652026100.

Almost surely, 2^{34035052000000} 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 34035052000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42721488392324).

34035052000000 is an abundant number, since it is smaller than the sum of its proper divisors (51407924784648).

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

34035052000000 is an frugal number, since it uses more digits than its factorization.

34035052000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52410 (or 52371 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

Adding to 34035052000000 its reverse (25053043), we get a palindrome (34035077053043).

The spelling of 34035052000000 in words is "thirty-four trillion, thirty-five billion, fifty-two million", and thus it is an aban number.