34010258120832 has 1024 divisors, whose sum is σ = 113508864000000. Its totient is φ = 8813474611200.

The previous prime is 34010258120827. The next prime is 34010258120843. The reversal of 34010258120832 is 23802185201043.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22688630419 + ... + 22688631917.

It is an arithmetic number, because the mean of its divisors is an integer number (110848500000).

Almost surely, 2^{34010258120832} is an apocalyptic number.

34010258120832 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 34010258120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56754432000000).

34010258120832 is an abundant number, since it is smaller than the sum of its proper divisors (79498605879168).

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

34010258120832 is a wasteful number, since it uses less digits than its factorization.

34010258120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 34010258120832 in words is "thirty-four trillion, ten billion, two hundred fifty-eight million, one hundred twenty thousand, eight hundred thirty-two".