34129054080 has 512 divisors, whose sum is σ = 132485760000. Its totient is φ = 8234680320.

The previous prime is 34129054067. The next prime is 34129054093. The reversal of 34129054080 is 8045092143.

34129054080 is a `hidden beast` number, since 34 + 1 + 2 + 9 + 0 + 540 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (34129054067) and next prime (34129054093).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 77742501 + ... + 77742939.

It is an arithmetic number, because the mean of its divisors is an integer number (258761250).

Almost surely, 2^34129054080 is an apocalyptic number.

34129054080 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 34129054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66242880000).

34129054080 is an abundant number, since it is smaller than the sum of its proper divisors (98356705920).

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

34129054080 is a wasteful number, since it uses less digits than its factorization.

34129054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 34129054080 in words is "thirty-four billion, one hundred twenty-nine million, fifty-four thousand, eighty".