34208498016 has 1152 divisors, whose sum is σ = 138076323840. Its totient is φ = 8062156800.

The previous prime is 34208497993. The next prime is 34208498017. The reversal of 34208498016 is 61089480243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34208498017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 352664880 + ... + 352664976.

It is an arithmetic number, because the mean of its divisors is an integer number (119857920).

Almost surely, 2^34208498016 is an apocalyptic number.

34208498016 is a gapful number since it is divisible by the number (36) 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 34208498016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69038161920).

34208498016 is an abundant number, since it is smaller than the sum of its proper divisors (103867825824).

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

34208498016 is a wasteful number, since it uses less digits than its factorization.

34208498016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 34208498016 in words is "thirty-four billion, two hundred eight million, four hundred ninety-eight thousand, sixteen".