36849330 has 160 divisors (see below), whose sum is σ = 116113536. Its totient is φ = 8211456.

The previous prime is 36849311. The next prime is 36849349. The reversal of 36849330 is 3394863.

It is an interprime number because it is at equal distance from previous prime (36849311) and next prime (36849349).

It is a Curzon number.

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 79 ways as a sum of consecutive naturals, for example, 379842 + ... + 379938.

Almost surely, 2^36849330 is an apocalyptic number.

36849330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36849330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58056768).

36849330 is an abundant number, since it is smaller than the sum of its proper divisors (79264206).

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

36849330 is a wasteful number, since it uses less digits than its factorization.

36849330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36849330 is about 6070.3648984225. The cubic root of 36849330 is about 332.7692582185.

The spelling of 36849330 in words is "thirty-six million, eight hundred forty-nine thousand, three hundred thirty".