36442656 has 48 divisors (see below), whose sum is σ = 106293600. Its totient is φ = 12147264.

The previous prime is 36442643. The next prime is 36442657. The reversal of 36442656 is 65624463.

36442656 is a `hidden beast` number, since 3 + 644 + 2 + 6 + 5 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36442656.

It is not an unprimeable number, because it can be changed into a prime (36442657) 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 7 ways as a sum of consecutive naturals, for example, 20226 + ... + 21953.

It is an arithmetic number, because the mean of its divisors is an integer number (2214450).

Almost surely, 2^36442656 is an apocalyptic number.

36442656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36442656 is an abundant number, since it is smaller than the sum of its proper divisors (69850944).

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

36442656 is a wasteful number, since it uses less digits than its factorization.

36442656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42198 (or 42184 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 36442656 is about 6036.7752981207. The cubic root of 36442656 is about 331.5405654582.

The spelling of 36442656 in words is "thirty-six million, four hundred forty-two thousand, six hundred fifty-six".