36479688 has 128 divisors (see below), whose sum is σ = 112907520. Its totient is φ = 9584640.

The previous prime is 36479687. The next prime is 36479689. The reversal of 36479688 is 88697463.

It is an interprime number because it is at equal distance from previous prime (36479687) and next prime (36479689).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 36479688.

It is not an unprimeable number, because it can be changed into a prime (36479683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151248 + ... + 151488.

It is an arithmetic number, because the mean of its divisors is an integer number (882090).

Almost surely, 2^36479688 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 36479688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56453760).

36479688 is an abundant number, since it is smaller than the sum of its proper divisors (76427832).

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

36479688 is a wasteful number, since it uses less digits than its factorization.

36479688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 36479688 is about 6039.8417197804. The cubic root of 36479688 is about 331.6528281671.

The spelling of 36479688 in words is "thirty-six million, four hundred seventy-nine thousand, six hundred eighty-eight".