36784512 has 96 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 11916288.

The previous prime is 36784511. The next prime is 36784523. The reversal of 36784512 is 21548763.

36784512 is a `hidden beast` number, since 3 + 67 + 84 + 512 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36784511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42193 + ... + 43055.

It is an arithmetic number, because the mean of its divisors is an integer number (1133730).

Almost surely, 2^36784512 is an apocalyptic number.

36784512 is a gapful number since it is divisible by the number (32) 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 36784512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419040).

36784512 is an abundant number, since it is smaller than the sum of its proper divisors (72053568).

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

36784512 is a wasteful number, since it uses less digits than its factorization.

36784512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 905 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 36784512 is about 6065.0236603001. The cubic root of 36784512 is about 332.5740299105.

The spelling of 36784512 in words is "thirty-six million, seven hundred eighty-four thousand, five hundred twelve".