38421648 has 160 divisors (see below), whose sum is σ = 120627200. Its totient is φ = 11664000.

The previous prime is 38421641. The next prime is 38421653. The reversal of 38421648 is 84612483.

38421648 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38421641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254373 + ... + 254523.

It is an arithmetic number, because the mean of its divisors is an integer number (753920).

Almost surely, 2^38421648 is an apocalyptic number.

38421648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38421648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60313600).

38421648 is an abundant number, since it is smaller than the sum of its proper divisors (82205552).

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

38421648 is a wasteful number, since it uses less digits than its factorization.

38421648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 38421648 is about 6198.5198233127. The cubic root of 38421648 is about 337.4364522329.

The spelling of 38421648 in words is "thirty-eight million, four hundred twenty-one thousand, six hundred forty-eight".