38782752 has 48 divisors (see below), whose sum is σ = 102638592. Its totient is φ = 12821760.

The previous prime is 38782747. The next prime is 38782787. The reversal of 38782752 is 25728783.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10602 + ... + 13782.

It is an arithmetic number, because the mean of its divisors is an integer number (2138304).

Almost surely, 2^38782752 is an apocalyptic number.

38782752 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 38782752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51319296).

38782752 is an abundant number, since it is smaller than the sum of its proper divisors (63855840).

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

38782752 is a wasteful number, since it uses less digits than its factorization.

38782752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3313 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 38782752 is about 6227.5799472990. The cubic root of 38782752 is about 338.4902843566.

The spelling of 38782752 in words is "thirty-eight million, seven hundred eighty-two thousand, seven hundred fifty-two".