36849968 has 40 divisors (see below), whose sum is σ = 76929600. Its totient is φ = 17043264.

The previous prime is 36849961. The next prime is 36849973. The reversal of 36849968 is 86994863.

It is not an unprimeable number, because it can be changed into a prime (36849961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11663 + ... + 14481.

It is an arithmetic number, because the mean of its divisors is an integer number (1923240).

Almost surely, 2^36849968 is an apocalyptic number.

36849968 is a gapful number since it is divisible by the number (38) 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 36849968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38464800).

36849968 is an abundant number, since it is smaller than the sum of its proper divisors (40079632).

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

36849968 is a wasteful number, since it uses less digits than its factorization.

36849968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2883 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 36849968 is about 6070.4174485780. The cubic root of 36849968 is about 332.7711787017.

The spelling of 36849968 in words is "thirty-six million, eight hundred forty-nine thousand, nine hundred sixty-eight".