36533952 has 336 divisors, whose sum is σ = 139793472. Its totient is φ = 8847360.

The previous prime is 36533923. The next prime is 36533953. The reversal of 36533952 is 25933563.

36533952 is a `hidden beast` number, since 36 + 533 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (36533953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891052 + ... + 891092.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 2^36533952 is an apocalyptic number.

36533952 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 36533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69896736).

36533952 is an abundant number, since it is smaller than the sum of its proper divisors (103259520).

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

36533952 is a wasteful number, since it uses less digits than its factorization.

36533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 36533952 is about 6044.3322211804. The cubic root of 36533952 is about 331.8171926297.

The spelling of 36533952 in words is "thirty-six million, five hundred thirty-three thousand, nine hundred fifty-two".