36378768 has 80 divisors (see below), whose sum is σ = 100082880. Its totient is φ = 11354112.

The previous prime is 36378757. The next prime is 36378781. The reversal of 36378768 is 86787363.

It is a super-2 number, since 2×36378768² = 2646829522395648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102880 + ... + 103232.

It is an arithmetic number, because the mean of its divisors is an integer number (1251036).

Almost surely, 2^36378768 is an apocalyptic number.

36378768 is a gapful number since it is divisible by the number (38) 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 36378768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50041440).

36378768 is an abundant number, since it is smaller than the sum of its proper divisors (63704112).

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

36378768 is a wasteful number, since it uses less digits than its factorization.

36378768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 36378768 is about 6031.4814100683. The cubic root of 36378768 is about 331.3467097238.

The spelling of 36378768 in words is "thirty-six million, three hundred seventy-eight thousand, seven hundred sixty-eight".