36780352 has 112 divisors (see below), whose sum is σ = 91440000. Its totient is φ = 14321664.

The previous prime is 36780349. The next prime is 36780379. The reversal of 36780352 is 25308763.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 246774 + ... + 246922.

Almost surely, 2^36780352 is an apocalyptic number.

36780352 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 36780352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720000).

36780352 is an abundant number, since it is smaller than the sum of its proper divisors (54659648).

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

36780352 is a wasteful number, since it uses less digits than its factorization.

36780352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 36780352 is about 6064.6807005810. The cubic root of 36780352 is about 332.5614923863.

The spelling of 36780352 in words is "thirty-six million, seven hundred eighty thousand, three hundred fifty-two".