36294120 has 96 divisors (see below), whose sum is σ = 118820520. Its totient is φ = 9607680.

The previous prime is 36294119. The next prime is 36294121. The reversal of 36294120 is 2149263.

36294120 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 (36294119) and next prime (36294121).

It can be written as a sum of positive squares in 4 ways, for example, as 9108324 + 27185796 = 3018^2 + 5214^2 .

It is not an unprimeable number, because it can be changed into a prime (36294121) 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 23 ways as a sum of consecutive naturals, for example, 64882 + ... + 65438.

Almost surely, 2^36294120 is an apocalyptic number.

36294120 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 36294120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59410260).

36294120 is an abundant number, since it is smaller than the sum of its proper divisors (82526400).

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

36294120 is a wasteful number, since it uses less digits than its factorization.

36294120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36294120 is about 6024.4601417886. The cubic root of 36294120 is about 331.0895119096.

The spelling of 36294120 in words is "thirty-six million, two hundred ninety-four thousand, one hundred twenty".