38662848 has 168 divisors, whose sum is σ = 130178048. Its totient is φ = 10741248.

The previous prime is 38662847. The next prime is 38662849. The reversal of 38662848 is 84826683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38662847) and next prime (38662849).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×38662848² = 2989631630942208, which contains 22 as substring.

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 (38662843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173265 + ... + 173487.

Almost surely, 2^38662848 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 38662848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65089024).

38662848 is an abundant number, since it is smaller than the sum of its proper divisors (91515200).

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

38662848 is a wasteful number, since it uses less digits than its factorization.

38662848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 38662848 is about 6217.9456414478. The cubic root of 38662848 is about 338.1410892835.

The spelling of 38662848 in words is "thirty-eight million, six hundred sixty-two thousand, eight hundred forty-eight".