36721944 has 128 divisors (see below), whose sum is σ = 118080000. Its totient is φ = 10357632.

The previous prime is 36721943. The next prime is 36721973. The reversal of 36721944 is 44912763.

36721944 = 39³ + 40³ + ... + 110³.

It is a super-2 number, since 2×36721944² = 2697002342278272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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.

Its product of digits (36288) is a multiple of the sum of its prime divisors (324).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 36721899 and 36721908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36721943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225207 + ... + 225369.

It is an arithmetic number, because the mean of its divisors is an integer number (922500).

Almost surely, 2^36721944 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 36721944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59040000).

36721944 is an abundant number, since it is smaller than the sum of its proper divisors (81358056).

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

36721944 is a wasteful number, since it uses less digits than its factorization.

36721944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36721944 is about 6059.8633647963. The cubic root of 36721944 is about 332.3853608223.

The spelling of 36721944 in words is "thirty-six million, seven hundred twenty-one thousand, nine hundred forty-four".