36319248 has 120 divisors (see below), whose sum is σ = 117456768. Its totient is φ = 10262016.

The previous prime is 36319211. The next prime is 36319273. The reversal of 36319248 is 84291363.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137965 + ... + 138227.

Almost surely, 2^36319248 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 36319248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58728384).

36319248 is an abundant number, since it is smaller than the sum of its proper divisors (81137520).

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

36319248 is a wasteful number, since it uses less digits than its factorization.

36319248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 36319248 is about 6026.5452790135. The cubic root of 36319248 is about 331.1659035123.

The spelling of 36319248 in words is "thirty-six million, three hundred nineteen thousand, two hundred forty-eight".