36342144 has 48 divisors (see below), whose sum is σ = 104581620. Its totient is φ = 12113664.

The previous prime is 36342121. The next prime is 36342149. The reversal of 36342144 is 44124363.

36342144 is a `hidden beast` number, since 3 + 634 + 21 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36342149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14622 + ... + 16925.

Almost surely, 2^36342144 is an apocalyptic number.

It is an amenable number.

36342144 is an abundant number, since it is smaller than the sum of its proper divisors (68239476).

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

36342144 is a wasteful number, since it uses less digits than its factorization.

36342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31567 (or 31552 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 36342144 is about 6028.4445755103. Note that the first 3 decimals coincide. The cubic root of 36342144 is about 331.2354789410.

It can be divided in two parts, 3634 and 2144, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 36342144 in words is "thirty-six million, three hundred forty-two thousand, one hundred forty-four".