36276480 has 216 divisors, whose sum is σ = 130096512. Its totient is φ = 9326592.

The previous prime is 36276467. The next prime is 36276481. The reversal of 36276480 is 8467263.

36276480 is a `hidden beast` number, since 3 + 6 + 2 + 7 + 648 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36276481) by changing a digit.

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, 541407 + ... + 541473.

Almost surely, 2^36276480 is an apocalyptic number.

36276480 is a gapful number since it is divisible by the number (30) 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 36276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65048256).

36276480 is an abundant number, since it is smaller than the sum of its proper divisors (93820032).

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

36276480 is a wasteful number, since it uses less digits than its factorization.

36276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36276480 is about 6022.9959322583. The cubic root of 36276480 is about 331.0358635000.

The spelling of 36276480 in words is "thirty-six million, two hundred seventy-six thousand, four hundred eighty".