36338976 has 96 divisors (see below), whose sum is σ = 107110080. Its totient is φ = 11985408.

The previous prime is 36338959. The next prime is 36338983. The reversal of 36338976 is 67983363.

It is a happy number.

36338976 is a `hidden beast` number, since 3 + 633 + 8 + 9 + 7 + 6 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 118215 + ... + 118521.

It is an arithmetic number, because the mean of its divisors is an integer number (1115730).

Almost surely, 2^36338976 is an apocalyptic number.

36338976 is a gapful number since it is divisible by the number (36) 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 36338976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53555040).

36338976 is an abundant number, since it is smaller than the sum of its proper divisors (70771104).

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

36338976 is a wasteful number, since it uses less digits than its factorization.

36338976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 36338976 is about 6028.1818154399. The cubic root of 36338976 is about 331.2258538944.

The spelling of 36338976 in words is "thirty-six million, three hundred thirty-eight thousand, nine hundred seventy-six".