34231225771008 has 1584 divisors, whose sum is σ = 127829110531200. Its totient is φ = 8939319459840.

The previous prime is 34231225771007. The next prime is 34231225771073. The reversal of 34231225771008 is 80017752213243.

34231225771008 is a `hidden beast` number, since 3 + 42 + 3 + 1 + 22 + 577 + 10 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (34231225771007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25913114988 + ... + 25913116308.

Almost surely, 2^{34231225771008} is an apocalyptic number.

34231225771008 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 34231225771008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63914555265600).

34231225771008 is an abundant number, since it is smaller than the sum of its proper divisors (93597884760192).

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

34231225771008 is an equidigital number, since it uses as much as digits as its factorization.

34231225771008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 34231225771008 in words is "thirty-four trillion, two hundred thirty-one billion, two hundred twenty-five million, seven hundred seventy-one thousand, eight".