36749952 has 192 divisors, whose sum is σ = 117748800. Its totient is φ = 10948608.

The previous prime is 36749941. The next prime is 36749957. The reversal of 36749952 is 25994763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (408240) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 36749898 and 36749907.

It is not an unprimeable number, because it can be changed into a prime (36749957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503388 + ... + 503460.

It is an arithmetic number, because the mean of its divisors is an integer number (613275).

Almost surely, 2^36749952 is an apocalyptic number.

36749952 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 36749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58874400).

36749952 is an abundant number, since it is smaller than the sum of its proper divisors (80998848).

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

36749952 is a wasteful number, since it uses less digits than its factorization.

36749952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 36749952 is about 6062.1738675165. The cubic root of 36749952 is about 332.4698433086.

The spelling of 36749952 in words is "thirty-six million, seven hundred forty-nine thousand, nine hundred fifty-two".