34314434000 has 320 divisors, whose sum is σ = 104156762112. Its totient is φ = 10622016000.

The previous prime is 34314433969. The next prime is 34314434029. The reversal of 34314434000 is 43441343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25101317 + ... + 25102683.

Almost surely, 2^34314434000 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 34314434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52078381056).

34314434000 is an abundant number, since it is smaller than the sum of its proper divisors (69842328112).

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

34314434000 is a wasteful number, since it uses less digits than its factorization.

34314434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34314434000 its reverse (43441343), we get a palindrome (34357875343).

The spelling of 34314434000 in words is "thirty-four billion, three hundred fourteen million, four hundred thirty-four thousand".