36477360 has 120 divisors (see below), whose sum is σ = 126799920. Its totient is φ = 9386496.

The previous prime is 36477349. The next prime is 36477367. The reversal of 36477360 is 6377463.

36477360 is a `hidden beast` number, since 3 + 647 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (36477367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20007 + ... + 21753.

It is an arithmetic number, because the mean of its divisors is an integer number (1056666).

Almost surely, 2^36477360 is an apocalyptic number.

36477360 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 36477360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63399960).

36477360 is an abundant number, since it is smaller than the sum of its proper divisors (90322560).

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

36477360 is a wasteful number, since it uses less digits than its factorization.

36477360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 36477360 is about 6039.6489964236. The cubic root of 36477360 is about 331.6457730610.

The spelling of 36477360 in words is "thirty-six million, four hundred seventy-seven thousand, three hundred sixty".