34204858042080 has 768 divisors, whose sum is σ = 126966271703040. Its totient is φ = 7652860723200.

The previous prime is 34204858042063. The next prime is 34204858042093. The reversal of 34204858042080 is 8024085840243.

34204858042080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 7821826774 + ... + 7821831146.

It is an arithmetic number, because the mean of its divisors is an integer number (165320666280).

Almost surely, 2^{34204858042080} is an apocalyptic number.

34204858042080 is a gapful number since it is divisible by the number (30) 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 34204858042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63483135851520).

34204858042080 is an abundant number, since it is smaller than the sum of its proper divisors (92761413660960).

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

34204858042080 is a wasteful number, since it uses less digits than its factorization.

34204858042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 34204858042080 in words is "thirty-four trillion, two hundred four billion, eight hundred fifty-eight million, forty-two thousand, eighty".