36643488 has 96 divisors (see below), whose sum is σ = 113541120. Its totient is φ = 10126080.

The previous prime is 36643487. The next prime is 36643549. The reversal of 36643488 is 88434663.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×36643488² = 2685490425612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (36643487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19953 + ... + 21711.

It is an arithmetic number, because the mean of its divisors is an integer number (1182720).

Almost surely, 2^36643488 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 36643488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56770560).

36643488 is an abundant number, since it is smaller than the sum of its proper divisors (76897632).

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

36643488 is a wasteful number, since it uses less digits than its factorization.

36643488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1802 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 36643488 is about 6053.3864902218. The cubic root of 36643488 is about 332.1484795771.

The spelling of 36643488 in words is "thirty-six million, six hundred forty-three thousand, four hundred eighty-eight".