36677952 has 84 divisors (see below), whose sum is σ = 108034836. Its totient is φ = 11888640.

The previous prime is 36677947. The next prime is 36677969. The reversal of 36677952 is 25977663.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 6471936 = 5496^2 + 2544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36677898 and 36677907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20452 + ... + 22172.

It is an arithmetic number, because the mean of its divisors is an integer number (1286129).

Almost surely, 2^36677952 is an apocalyptic number.

36677952 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 36677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54017418).

36677952 is an abundant number, since it is smaller than the sum of its proper divisors (71356884).

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

36677952 is a wasteful number, since it uses less digits than its factorization.

36677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1763 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 36677952 is about 6056.2324922348. The cubic root of 36677952 is about 332.2525779125.

The spelling of 36677952 in words is "thirty-six million, six hundred seventy-seven thousand, nine hundred fifty-two".