38655840 has 96 divisors (see below), whose sum is σ = 126010080. Its totient is φ = 9949184.

The previous prime is 38655829. The next prime is 38655889. The reversal of 38655840 is 4855683.

It is a happy number.

38655840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38655840² = 2988547932211200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12532 + ... + 15308.

It is an arithmetic number, because the mean of its divisors is an integer number (1312605).

Almost surely, 2^38655840 is an apocalyptic number.

38655840 is a gapful number since it is divisible by the number (30) 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 38655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63005040).

38655840 is an abundant number, since it is smaller than the sum of its proper divisors (87354240).

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

38655840 is a wasteful number, since it uses less digits than its factorization.

38655840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 38655840 is about 6217.3820857335. The cubic root of 38655840 is about 338.1206576455.

The spelling of 38655840 in words is "thirty-eight million, six hundred fifty-five thousand, eight hundred forty".