34439103220608 has 512 divisors, whose sum is σ = 110932236288000. Its totient is φ = 10478178662400.

The previous prime is 34439103220547. The next prime is 34439103220619. The reversal of 34439103220608 is 80602230193443.

34439103220608 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 9 + 1 + 0 + 32 + 2 + 0 + 608 = 666.

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, 462040303 + ... + 462114833.

It is an arithmetic number, because the mean of its divisors is an integer number (216664524000).

Almost surely, 2^{34439103220608} is an apocalyptic number.

34439103220608 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 34439103220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55466118144000).

34439103220608 is an abundant number, since it is smaller than the sum of its proper divisors (76493133067392).

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

34439103220608 is a wasteful number, since it uses less digits than its factorization.

34439103220608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74831 (or 74813 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 34439103220608 in words is "thirty-four trillion, four hundred thirty-nine billion, one hundred three million, two hundred twenty thousand, six hundred eight".