38629248 has 96 divisors (see below), whose sum is σ = 119419560. Its totient is φ = 11031552.

The previous prime is 38629243. The next prime is 38629249. The reversal of 38629248 is 84292683.

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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38629243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17790 + ... + 19842.

Almost surely, 2^38629248 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 38629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59709780).

38629248 is an abundant number, since it is smaller than the sum of its proper divisors (80790312).

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

38629248 is a wasteful number, since it uses less digits than its factorization.

38629248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2065 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 38629248 is about 6215.2431971726. The cubic root of 38629248 is about 338.0431069048.

It can be divided in two parts, 3 and 8629248, that multiplied together give a square (25887744 = 5088²).

The spelling of 38629248 in words is "thirty-eight million, six hundred twenty-nine thousand, two hundred forty-eight".