34000302000 has 640 divisors, whose sum is σ = 133096624128. Its totient is φ = 7299072000.

The previous prime is 34000301987. The next prime is 34000302053. The reversal of 34000302000 is 20300043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58925712 + ... + 58926288.

Almost surely, 2^34000302000 is an apocalyptic number.

34000302000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34000302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66548312064).

34000302000 is an abundant number, since it is smaller than the sum of its proper divisors (99096322128).

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

34000302000 is a wasteful number, since it uses less digits than its factorization.

34000302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 34000302000 its reverse (20300043), we get a palindrome (34020602043).

The spelling of 34000302000 in words is "thirty-four billion, three hundred two thousand".