38561248 has 72 divisors (see below), whose sum is σ = 87275664. Its totient is φ = 16727040.

The previous prime is 38561233. The next prime is 38561249. The reversal of 38561248 is 84216583.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38561249) 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 11 ways as a sum of consecutive naturals, for example, 88840 + ... + 89272.

It is an arithmetic number, because the mean of its divisors is an integer number (1212162).

Almost surely, 2^38561248 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 38561248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43637832).

38561248 is an abundant number, since it is smaller than the sum of its proper divisors (48714416).

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

38561248 is a wasteful number, since it uses less digits than its factorization.

38561248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 469 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 38561248 is about 6209.7703661247. The cubic root of 38561248 is about 337.8446352474.

It can be divided in two parts, 38561 and 248, that added together give a square (38809 = 197²).

The spelling of 38561248 in words is "thirty-eight million, five hundred sixty-one thousand, two hundred forty-eight".