36945792 has 96 divisors (see below), whose sum is σ = 114539880. Its totient is φ = 11363328.

The previous prime is 36945787. The next prime is 36945793. The reversal of 36945792 is 29754963.

It is a happy number.

36945792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36945793) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13743 + ... + 16209.

Almost surely, 2^36945792 is an apocalyptic number.

36945792 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 36945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57269940).

36945792 is an abundant number, since it is smaller than the sum of its proper divisors (77594088).

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

36945792 is a wasteful number, since it uses less digits than its factorization.

36945792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2485 counting only the distinct ones).

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

The square root of 36945792 is about 6078.3050268969. The cubic root of 36945792 is about 333.0593731213.

The spelling of 36945792 in words is "thirty-six million, nine hundred forty-five thousand, seven hundred ninety-two".