38135808 has 72 divisors (see below), whose sum is σ = 110196450. Its totient is φ = 12705792.

The previous prime is 38135767. The next prime is 38135813. The reversal of 38135808 is 80853183.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 1557504 = 6048^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17398 + ... + 19466.

Almost surely, 2^38135808 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 38135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55098225).

38135808 is an abundant number, since it is smaller than the sum of its proper divisors (72060642).

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

38135808 is a wasteful number, since it uses less digits than its factorization.

38135808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 38135808 is about 6175.4196618529. The cubic root of 38135808 is about 336.5975760367.

The spelling of 38135808 in words is "thirty-eight million, one hundred thirty-five thousand, eight hundred eight".