36811944 has 96 divisors (see below), whose sum is σ = 109156320. Its totient is φ = 11138688.

The previous prime is 36811939. The next prime is 36811963. The reversal of 36811944 is 44911863.

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 = 36811899 and 36811908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62419 + ... + 63005.

It is an arithmetic number, because the mean of its divisors is an integer number (1137045).

Almost surely, 2^36811944 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 36811944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54578160).

36811944 is an abundant number, since it is smaller than the sum of its proper divisors (72344376).

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

36811944 is a wasteful number, since it uses less digits than its factorization.

36811944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 672 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 36811944 is about 6067.2847304210. The cubic root of 36811944 is about 332.6566815789.

It can be divided in two parts, 3681 and 1944, that added together give a square (5625 = 75²).

The spelling of 36811944 in words is "thirty-six million, eight hundred eleven thousand, nine hundred forty-four".