36355644 has 72 divisors (see below), whose sum is σ = 99891792. Its totient is φ = 11082240.

The previous prime is 36355637. The next prime is 36355691. The reversal of 36355644 is 44655363.

36355644 is a `hidden beast` number, since 3 + 6 + 3 + 5 + 5 + 644 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 36355599 and 36355608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61012 + ... + 61604.

It is an arithmetic number, because the mean of its divisors is an integer number (1387386).

Almost surely, 2^36355644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36355644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49945896).

36355644 is an abundant number, since it is smaller than the sum of its proper divisors (63536148).

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

36355644 is a wasteful number, since it uses less digits than its factorization.

36355644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 742 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 36355644 is about 6029.5641633538. The cubic root of 36355644 is about 331.2764884953.

The spelling of 36355644 in words is "thirty-six million, three hundred fifty-five thousand, six hundred forty-four".