38881824 has 48 divisors (see below), whose sum is σ = 102386592. Its totient is φ = 12919808.

The previous prime is 38881819. The next prime is 38881841. The reversal of 38881824 is 42818883.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56587 + ... + 57269.

It is an arithmetic number, because the mean of its divisors is an integer number (2133054).

Almost surely, 2^38881824 is an apocalyptic number.

It is an amenable number.

38881824 is an abundant number, since it is smaller than the sum of its proper divisors (63504768).

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

38881824 is a wasteful number, since it uses less digits than its factorization.

38881824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1281 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 38881824 is about 6235.5291676008. The cubic root of 38881824 is about 338.7782679986.

The spelling of 38881824 in words is "thirty-eight million, eight hundred eighty-one thousand, eight hundred twenty-four".