34146016128 has 768 divisors, whose sum is σ = 128721960000. Its totient is φ = 8843821056.

The previous prime is 34146016103. The next prime is 34146016139. The reversal of 34146016128 is 82161064143.

34146016128 is a `hidden beast` number, since 3 + 41 + 4 + 601 + 6 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×34146016128² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34146016092 and 34146016101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83486388 + ... + 83486796.

Almost surely, 2^34146016128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34146016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64360980000).

34146016128 is an abundant number, since it is smaller than the sum of its proper divisors (94575943872).

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

34146016128 is a wasteful number, since it uses less digits than its factorization.

34146016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 34146016128 in words is "thirty-four billion, one hundred forty-six million, sixteen thousand, one hundred twenty-eight".