36978336 has 96 divisors (see below), whose sum is σ = 109025280. Its totient is φ = 12192768.

The previous prime is 36978329. The next prime is 36978353. The reversal of 36978336 is 63387963.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 36978291 and 36978300.

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, 109560 + ... + 109896.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 2^36978336 is an apocalyptic number.

36978336 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 36978336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54512640).

36978336 is an abundant number, since it is smaller than the sum of its proper divisors (72046944).

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

36978336 is a wasteful number, since it uses less digits than its factorization.

36978336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

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

The square root of 36978336 is about 6080.9814997252. The cubic root of 36978336 is about 333.1571371033.

The spelling of 36978336 in words is "thirty-six million, nine hundred seventy-eight thousand, three hundred thirty-six".