36319968 has 96 divisors (see below), whose sum is σ = 107089920. Its totient is φ = 11975040.

The previous prime is 36319961. The next prime is 36320021. The reversal of 36319968 is 86991363.

36319968 is a `hidden beast` number, since 3 + 631 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×36319968³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36319961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109563 + ... + 109893.

It is an arithmetic number, because the mean of its divisors is an integer number (1115520).

Almost surely, 2^36319968 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 36319968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53544960).

36319968 is an abundant number, since it is smaller than the sum of its proper divisors (70769952).

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

36319968 is a wasteful number, since it uses less digits than its factorization.

36319968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 36319968 is about 6026.6050144339. The cubic root of 36319968 is about 331.1680918641.

The spelling of 36319968 in words is "thirty-six million, three hundred nineteen thousand, nine hundred sixty-eight".