36644400 has 360 divisors, whose sum is σ = 146917680. Its totient is φ = 8709120.

The previous prime is 36644389. The next prime is 36644423. The reversal of 36644400 is 444663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1263586 + ... + 1263614.

Almost surely, 2^36644400 is an apocalyptic number.

36644400 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 36644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73458840).

36644400 is an abundant number, since it is smaller than the sum of its proper divisors (110273280).

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

36644400 is a wasteful number, since it uses less digits than its factorization.

36644400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

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

The square root of 36644400 is about 6053.4618194881. The cubic root of 36644400 is about 332.1512351090.

The spelling of 36644400 in words is "thirty-six million, six hundred forty-four thousand, four hundred".