34126438080 has 336 divisors, whose sum is σ = 132678708480. Its totient is φ = 7389591552.

The previous prime is 34126438057. The next prime is 34126438111. The reversal of 34126438080 is 8083462143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×34126438080² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874669 + ... + 912851.

Almost surely, 2^34126438080 is an apocalyptic number.

34126438080 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 34126438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339354240).

34126438080 is an abundant number, since it is smaller than the sum of its proper divisors (98552270400).

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

34126438080 is a wasteful number, since it uses less digits than its factorization.

34126438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38236 (or 38219 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 34126438080 in words is "thirty-four billion, one hundred twenty-six million, four hundred thirty-eight thousand, eighty".