34009840230912 has 800 divisors, whose sum is σ = 128966532946944. Its totient is φ = 8680255488000.

The previous prime is 34009840230911. The next prime is 34009840230913. The reversal of 34009840230912 is 21903204890043.

34009840230912 is a `hidden beast` number, since 3 + 40 + 0 + 98 + 402 + 30 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34009840230911) and next prime (34009840230913).

It is not an unprimeable number, because it can be changed into a prime (34009840230911) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116847162 + ... + 117137862.

Almost surely, 2^{34009840230912} is an apocalyptic number.

34009840230912 is a gapful number since it is divisible by the number (32) 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 34009840230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64483266473472).

34009840230912 is an abundant number, since it is smaller than the sum of its proper divisors (94956692716032).

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

34009840230912 is a wasteful number, since it uses less digits than its factorization.

34009840230912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290782 (or 290757 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34009840230912 in words is "thirty-four trillion, nine billion, eight hundred forty million, two hundred thirty thousand, nine hundred twelve".