34936128 has 84 divisors (see below), whose sum is σ = 101120448. Its totient is φ = 11531520.

The previous prime is 34936127. The next prime is 34936129. The reversal of 34936128 is 82163943.

34936128 is a `hidden beast` number, since 34 + 9 + 3 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34936127) and next prime (34936129).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 34936092 and 34936101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34936127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75225 + ... + 75687.

Almost surely, 2^34936128 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 34936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50560224).

34936128 is an abundant number, since it is smaller than the sum of its proper divisors (66184320).

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

34936128 is a wasteful number, since it uses less digits than its factorization.

34936128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 599 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34936128 is about 5910.6791487950. The cubic root of 34936128 is about 326.9075293339.

The spelling of 34936128 in words is "thirty-four million, nine hundred thirty-six thousand, one hundred twenty-eight".