36412128 has 108 divisors (see below), whose sum is σ = 108697680. Its totient is φ = 11561088.

The previous prime is 36412121. The next prime is 36412133. The reversal of 36412128 is 82121463.

36412128 is a `hidden beast` number, since 3 + 641 + 2 + 12 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36412121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 152233 + ... + 152471.

It is an arithmetic number, because the mean of its divisors is an integer number (1006460).

Almost surely, 2^36412128 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 36412128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54348840).

36412128 is an abundant number, since it is smaller than the sum of its proper divisors (72285552).

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

36412128 is a wasteful number, since it uses less digits than its factorization.

36412128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 267 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 36412128 is about 6034.2462661048. The cubic root of 36412128 is about 331.4479624576.

It can be divided in two parts, 36 and 412128, that added together give a square (412164 = 642²).

The spelling of 36412128 in words is "thirty-six million, four hundred twelve thousand, one hundred twenty-eight".