34072000000 has 140 divisors (see below), whose sum is σ = 85115707380. Its totient is φ = 13625600000.

The previous prime is 34071999977. The next prime is 34072000019. The reversal of 34072000000 is 27043.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 7997871 + ... + 8002129.

Almost surely, 2^34072000000 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 34072000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42557853690).

34072000000 is an abundant number, since it is smaller than the sum of its proper divisors (51043707380).

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

34072000000 is an frugal number, since it uses more digits than its factorization.

34072000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

Adding to 34072000000 its reverse (27043), we get a palindrome (34072027043).

The spelling of 34072000000 in words is "thirty-four billion, seventy-two million", and thus it is an aban number.