36879672 has 64 divisors (see below), whose sum is σ = 97666560. Its totient is φ = 11580800.

The previous prime is 36879671. The next prime is 36879683. The reversal of 36879672 is 27697863.

36879672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36879672² = 2720220413655168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36879671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38722 + ... + 39662.

It is an arithmetic number, because the mean of its divisors is an integer number (1526040).

Almost surely, 2^36879672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36879672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48833280).

36879672 is an abundant number, since it is smaller than the sum of its proper divisors (60786888).

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

36879672 is a wasteful number, since it uses less digits than its factorization.

36879672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1040 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 36879672 is about 6072.8635749537. The cubic root of 36879672 is about 332.8605680181.

The spelling of 36879672 in words is "thirty-six million, eight hundred seventy-nine thousand, six hundred seventy-two".