36945120 has 96 divisors (see below), whose sum is σ = 122532480. Its totient is φ = 9331200.

The previous prime is 36945119. The next prime is 36945121. The reversal of 36945120 is 2154963.

36945120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36945119) and next prime (36945121).

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36945121) 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 15 ways as a sum of consecutive naturals, for example, 7095 + ... + 11145.

It is an arithmetic number, because the mean of its divisors is an integer number (1276380).

Almost surely, 2^36945120 is an apocalyptic number.

36945120 is a gapful number since it is divisible by the number (30) 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 36945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61266240).

36945120 is an abundant number, since it is smaller than the sum of its proper divisors (85587360).

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

36945120 is a wasteful number, since it uses less digits than its factorization.

36945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 36945120 is about 6078.2497480772. The cubic root of 36945120 is about 333.0573537912.

The spelling of 36945120 in words is "thirty-six million, nine hundred forty-five thousand, one hundred twenty".