34012000000 has 252 divisors, whose sum is σ = 92697407208. Its totient is φ = 12352000000.

The previous prime is 34011999953. The next prime is 34012000049. The reversal of 34012000000 is 21043.

It is a super-2 number, since 2×34012000000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 27 ways as a sum of consecutive naturals, for example, 43999614 + ... + 44000386.

It is an arithmetic number, because the mean of its divisors is an integer number (367846854).

Almost surely, 2^34012000000 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 34012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46348703604).

34012000000 is an abundant number, since it is smaller than the sum of its proper divisors (58685407208).

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

34012000000 is an frugal number, since it uses more digits than its factorization.

34012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 34012000000 its reverse (21043), we get a palindrome (34012021043).

The spelling of 34012000000 in words is "thirty-four billion, twelve million", and thus it is an aban number.