36405632 has 32 divisors (see below), whose sum is σ = 74496720. Its totient is φ = 17708544.

The previous prime is 36405623. The next prime is 36405637. The reversal of 36405632 is 23650463.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 36405595 and 36405604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36405637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 893 + ... + 8579.

Almost surely, 2^36405632 is an apocalyptic number.

36405632 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 36405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37248360).

36405632 is an abundant number, since it is smaller than the sum of its proper divisors (38091088).

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

36405632 is an equidigital number, since it uses as much as digits as its factorization.

36405632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 36405632 is about 6033.7079810014. The cubic root of 36405632 is about 331.4282509481.

The spelling of 36405632 in words is "thirty-six million, four hundred five thousand, six hundred thirty-two".