38416000 has 160 divisors (see below), whose sum is σ = 111423780. Its totient is φ = 13171200.

The previous prime is 38415989. The next prime is 38416051. The reversal of 38416000 is 61483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 25969216 + 12446784 = 5096^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5487997 + ... + 5488003.

Almost surely, 2^38416000 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 38416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55711890).

38416000 is an abundant number, since it is smaller than the sum of its proper divisors (73007780).

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

38416000 is an frugal number, since it uses more digits than its factorization.

38416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 38416000 is about 6198.0642139300. The cubic root of 38416000 is about 337.4199169845.

Adding to 38416000 its reverse (61483), we get a palindrome (38477483).

It can be divided in two parts, 384 and 16000, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 38416000 in words is "thirty-eight million, four hundred sixteen thousand".