34864128 has 176 divisors, whose sum is σ = 112339360. Its totient is φ = 10616832.

The previous prime is 34864121. The next prime is 34864133. The reversal of 34864128 is 82146843.

34864128 is a `hidden beast` number, since 3 + 4 + 8 + 641 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34864092 and 34864101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34864121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359376 + ... + 359472.

Almost surely, 2^34864128 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 34864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56169680).

34864128 is an abundant number, since it is smaller than the sum of its proper divisors (77475232).

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

34864128 is a wasteful number, since it uses less digits than its factorization.

34864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 34864128 is about 5904.5853368378. The cubic root of 34864128 is about 326.6827998881.

The spelling of 34864128 in words is "thirty-four million, eight hundred sixty-four thousand, one hundred twenty-eight".