34252234967808 has 3456 divisors, whose sum is σ = 134821193472000. Its totient is φ = 8584584560640.

The previous prime is 34252234967761. The next prime is 34252234967809. The reversal of 34252234967808 is 80876943225243.

34252234967808 is a `hidden beast` number, since 3 + 4 + 2 + 52 + 23 + 496 + 78 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is not an unprimeable number, because it can be changed into a prime (34252234967809) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 384856572628 + ... + 384856572716.

It is an arithmetic number, because the mean of its divisors is an integer number (39010762000).

Almost surely, 2^{34252234967808} is an apocalyptic number.

34252234967808 is a gapful number since it is divisible by the number (38) 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 34252234967808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67410596736000).

34252234967808 is an abundant number, since it is smaller than the sum of its proper divisors (100568958504192).

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

34252234967808 is a wasteful number, since it uses less digits than its factorization.

34252234967808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 34252234967808 in words is "thirty-four trillion, two hundred fifty-two billion, two hundred thirty-four million, nine hundred sixty-seven thousand, eight hundred eight".