36433632 has 48 divisors (see below), whose sum is σ = 96187392. Its totient is φ = 12074880.

The previous prime is 36433609. The next prime is 36433637. The reversal of 36433632 is 23633463.

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

It is a super-2 number, since 2×36433632² = 2654819081422848, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36433632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36433637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17343 + ... + 19329.

It is an arithmetic number, because the mean of its divisors is an integer number (2003904).

Almost surely, 2^36433632 is an apocalyptic number.

36433632 is a gapful number since it is divisible by the number (32) 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 36433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48093696).

36433632 is an abundant number, since it is smaller than the sum of its proper divisors (59753760).

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

36433632 is a wasteful number, since it uses less digits than its factorization.

36433632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2183 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

The square root of 36433632 is about 6036.0278329378. The cubic root of 36433632 is about 331.5131976300.

The spelling of 36433632 in words is "thirty-six million, four hundred thirty-three thousand, six hundred thirty-two".