36781128 has 80 divisors (see below), whose sum is σ = 106402560. Its totient is φ = 11858400.

The previous prime is 36781127. The next prime is 36781133. The reversal of 36781128 is 82118763.

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 = 36781092 and 36781101.

It is not an unprimeable number, because it can be changed into a prime (36781127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19173 + ... + 21003.

It is an arithmetic number, because the mean of its divisors is an integer number (1330032).

Almost surely, 2^36781128 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 36781128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53201280).

36781128 is an abundant number, since it is smaller than the sum of its proper divisors (69621432).

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

36781128 is a wasteful number, since it uses less digits than its factorization.

36781128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1867 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 36781128 is about 6064.7446772309. The cubic root of 36781128 is about 332.5638311885.

The spelling of 36781128 in words is "thirty-six million, seven hundred eighty-one thousand, one hundred twenty-eight".