36803844 has 216 divisors, whose sum is σ = 125483904. Its totient is φ = 8870400.

The previous prime is 36803843. The next prime is 36803881. The reversal of 36803844 is 44830863.

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 = 36803799 and 36803808.

It is not an unprimeable number, because it can be changed into a prime (36803843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 518329 + ... + 518399.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 2^36803844 is an apocalyptic number.

36803844 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36803844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

36803844 is an abundant number, since it is smaller than the sum of its proper divisors (88680060).

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

36803844 is a wasteful number, since it uses less digits than its factorization.

36803844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 36803844 is about 6066.6171792853. The cubic root of 36803844 is about 332.6322808320.

The spelling of 36803844 in words is "thirty-six million, eight hundred three thousand, eight hundred forty-four".