36821952 has 70 divisors (see below), whose sum is σ = 109167168. Its totient is φ = 12272256.

The previous prime is 36821947. The next prime is 36821957. The reversal of 36821952 is 25912863.

It is an interprime number because it is at equal distance from previous prime (36821947) and next prime (36821957).

It is a super-2 number, since 2×36821952² = 2711712298180608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36821957) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1633 + ... + 8735.

Almost surely, 2^36821952 is an apocalyptic number.

36821952 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 36821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54583584).

36821952 is an abundant number, since it is smaller than the sum of its proper divisors (72345216).

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

36821952 is an equidigital number, since it uses as much as digits as its factorization.

36821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7127 (or 7108 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 36821952 is about 6068.1094255130. The cubic root of 36821952 is about 332.6868251143.

It can be divided in two parts, 36821 and 952, that added together give a palindrome (37773).

The spelling of 36821952 in words is "thirty-six million, eight hundred twenty-one thousand, nine hundred fifty-two".