38486448 has 320 divisors, whose sum is σ = 149990400. Its totient is φ = 9123840.

The previous prime is 38486447. The next prime is 38486471. The reversal of 38486448 is 84468483.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38486447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432388 + ... + 432476.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^38486448 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 38486448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

38486448 is an abundant number, since it is smaller than the sum of its proper divisors (111503952).

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

38486448 is a wasteful number, since it uses less digits than its factorization.

38486448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 38486448 is about 6203.7446755972. The cubic root of 38486448 is about 337.6260467464.

It can be divided in two parts, 3848 and 6448, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 38486448 in words is "thirty-eight million, four hundred eighty-six thousand, four hundred forty-eight".