38848800 has 72 divisors (see below), whose sum is σ = 126460656. Its totient is φ = 10359040.

The previous prime is 38848783. The next prime is 38848801. The reversal of 38848800 is 884883.

It is a super-2 number, since 2×38848800² = 3018458522880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38848801) 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, 5694 + ... + 10493.

It is an arithmetic number, because the mean of its divisors is an integer number (1756398).

Almost surely, 2^38848800 is an apocalyptic number.

38848800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38848800 is an abundant number, since it is smaller than the sum of its proper divisors (87611856).

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

38848800 is a wasteful number, since it uses less digits than its factorization.

38848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16210 (or 16197 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 38848800 is about 6232.8805539654. The cubic root of 38848800 is about 338.6823278626.

The spelling of 38848800 in words is "thirty-eight million, eight hundred forty-eight thousand, eight hundred".