36213632 has 64 divisors (see below), whose sum is σ = 88821600. Its totient is φ = 14321664.

The previous prime is 36213631. The next prime is 36213637. The reversal of 36213632 is 23631263.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×36213632² = 2622854285262848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36213631) 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, 10094 + ... + 13202.

Almost surely, 2^36213632 is an apocalyptic number.

36213632 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 36213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44410800).

36213632 is an abundant number, since it is smaller than the sum of its proper divisors (52607968).

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

36213632 is a wasteful number, since it uses less digits than its factorization.

36213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3131 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

The square root of 36213632 is about 6017.7763334973. The cubic root of 36213632 is about 330.8445828301.

Adding to 36213632 its reverse (23631263), we get a palindrome (59844895).

The spelling of 36213632 in words is "thirty-six million, two hundred thirteen thousand, six hundred thirty-two".