38812896 has 144 divisors (see below), whose sum is σ = 119705040. Its totient is φ = 11888640.

The previous prime is 38812867. The next prime is 38812903. The reversal of 38812896 is 69821883.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224266 + ... + 224438.

It is an arithmetic number, because the mean of its divisors is an integer number (831285).

Almost surely, 2^38812896 is an apocalyptic number.

38812896 is a gapful number since it is divisible by the number (36) 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 38812896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59852520).

38812896 is an abundant number, since it is smaller than the sum of its proper divisors (80892144).

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

38812896 is a wasteful number, since it uses less digits than its factorization.

38812896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 38812896 is about 6229.9996789727. Note that the first 3 decimals coincide. The cubic root of 38812896 is about 338.5779591449.

The spelling of 38812896 in words is "thirty-eight million, eight hundred twelve thousand, eight hundred ninety-six".