36949952 has 56 divisors (see below), whose sum is σ = 80010000. Its totient is φ = 16828416.

The previous prime is 36949949. The next prime is 36949999. The reversal of 36949952 is 25994963.

36949952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36949897 and 36949906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73799 + ... + 74297.

It is an arithmetic number, because the mean of its divisors is an integer number (1428750).

Almost surely, 2^36949952 is an apocalyptic number.

36949952 is a gapful number since it is divisible by the number (32) 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 36949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40005000).

36949952 is an abundant number, since it is smaller than the sum of its proper divisors (43060048).

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

36949952 is a wasteful number, since it uses less digits than its factorization.

36949952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 603 counting only the distinct ones).

The product of its digits is 524880, while the sum is 47.

The square root of 36949952 is about 6078.6472179260. The cubic root of 36949952 is about 333.0718731916.

The spelling of 36949952 in words is "thirty-six million, nine hundred forty-nine thousand, nine hundred fifty-two".