36782464 has 32 divisors (see below), whose sum is σ = 74388600. Its totient is φ = 18112512.

The previous prime is 36782443. The next prime is 36782467. The reversal of 36782464 is 46428763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×36782464² = 2705899315822592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36782467) 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 3 ways as a sum of consecutive naturals, for example, 6432 + ... + 10720.

Almost surely, 2^36782464 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 36782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37194300).

36782464 is an abundant number, since it is smaller than the sum of its proper divisors (37606136).

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

36782464 is an equidigital number, since it uses as much as digits as its factorization.

36782464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4358 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 36782464 is about 6064.8548210159. The cubic root of 36782464 is about 332.5678577090.

The spelling of 36782464 in words is "thirty-six million, seven hundred eighty-two thousand, four hundred sixty-four".