38574816 has 96 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 10914816.

The previous prime is 38574793. The next prime is 38574817. The reversal of 38574816 is 61847583.

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 (42).

Its product of digits (161280) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38574817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91855 + ... + 92273.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 2^38574816 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 38574816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

38574816 is an abundant number, since it is smaller than the sum of its proper divisors (78272544).

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

38574816 is a wasteful number, since it uses less digits than its factorization.

38574816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 38574816 is about 6210.8627420029. The cubic root of 38574816 is about 337.8842548027.

The spelling of 38574816 in words is "thirty-eight million, five hundred seventy-four thousand, eight hundred sixteen".