38108640 has 48 divisors (see below), whose sum is σ = 120043728. Its totient is φ = 10162176.

The previous prime is 38108599. The next prime is 38108647. The reversal of 38108640 is 4680183.

38108640 = 173² + 174² + ... + 492².

It is a happy number.

38108640 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38108598 and 38108607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38108647) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39217 + ... + 40176.

It is an arithmetic number, because the mean of its divisors is an integer number (2500911).

Almost surely, 2^38108640 is an apocalyptic number.

38108640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38108640 is an abundant number, since it is smaller than the sum of its proper divisors (81935088).

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

38108640 is a wasteful number, since it uses less digits than its factorization.

38108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79411 (or 79403 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 38108640 is about 6173.2195813854. The cubic root of 38108640 is about 336.5176261956.

The spelling of 38108640 in words is "thirty-eight million, one hundred eight thousand, six hundred forty".