38840832 has 60 divisors (see below), whose sum is σ = 112110570. Its totient is φ = 12945408.

The previous prime is 38840819. The next prime is 38840833. The reversal of 38840832 is 23804883.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 37161216 + 1679616 = 6096^2 + 1296^2 .

It is a super-2 number, since 2×38840832² = 3017220460904448, which contains 22 as substring.

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 (38840833) 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 5 ways as a sum of consecutive naturals, for example, 394 + ... + 8822.

Almost surely, 2^38840832 is an apocalyptic number.

38840832 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 38840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56055285).

38840832 is an abundant number, since it is smaller than the sum of its proper divisors (73269738).

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

38840832 is an equidigital number, since it uses as much as digits as its factorization.

38840832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38840832 is about 6232.2413303722. The cubic root of 38840832 is about 338.6591713747.

The spelling of 38840832 in words is "thirty-eight million, eight hundred forty thousand, eight hundred thirty-two".