36803628 has 36 divisors (see below), whose sum is σ = 93424968. Its totient is φ = 12216000.

The previous prime is 36803621. The next prime is 36803629. The reversal of 36803628 is 82630863.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 36803592 and 36803601.

It is not an unprimeable number, because it can be changed into a prime (36803621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7000 + ... + 11072.

It is an arithmetic number, because the mean of its divisors is an integer number (2595138).

Almost surely, 2^36803628 is an apocalyptic number.

It is an amenable number.

36803628 is an abundant number, since it is smaller than the sum of its proper divisors (56621340).

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

36803628 is a wasteful number, since it uses less digits than its factorization.

36803628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36803628 is about 6066.5993769162. The cubic root of 36803628 is about 332.6316300965.

The spelling of 36803628 in words is "thirty-six million, eight hundred three thousand, six hundred twenty-eight".