34064352000 has 864 divisors, whose sum is σ = 142894437504. Its totient is φ = 7630848000.

The previous prime is 34064351999. The next prime is 34064352017. The reversal of 34064352000 is 25346043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122975862 + ... + 122976138.

Almost surely, 2^34064352000 is an apocalyptic number.

34064352000 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 34064352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71447218752).

34064352000 is an abundant number, since it is smaller than the sum of its proper divisors (108830085504).

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

34064352000 is a wasteful number, since it uses less digits than its factorization.

34064352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34064352000 its reverse (25346043), we get a palindrome (34089698043).

The spelling of 34064352000 in words is "thirty-four billion, sixty-four million, three hundred fifty-two thousand".