38801840 has 80 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 12092160.

The previous prime is 38801813. The next prime is 38801849. The reversal of 38801840 is 4810883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 38801797 and 38801806.

It is not an unprimeable number, because it can be changed into a prime (38801849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3011 + ... + 9309.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^38801840 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 38801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

38801840 is an abundant number, since it is smaller than the sum of its proper divisors (73690960).

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

38801840 is a wasteful number, since it uses less digits than its factorization.

38801840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 38801840 is about 6229.1122963068. The cubic root of 38801840 is about 338.5458076885.

The spelling of 38801840 in words is "thirty-eight million, eight hundred one thousand, eight hundred forty".