38535408 has 120 divisors (see below), whose sum is σ = 113336496. Its totient is φ = 12211200.

The previous prime is 38535407. The next prime is 38535421. The reversal of 38535408 is 80453583.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38535407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360091 + ... + 360197.

Almost surely, 2^38535408 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 38535408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56668248).

38535408 is an abundant number, since it is smaller than the sum of its proper divisors (74801088).

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

38535408 is a wasteful number, since it uses less digits than its factorization.

38535408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 38535408 is about 6207.6894252209. The cubic root of 38535408 is about 337.7691548404.

It can be divided in two parts, 3853 and 5408, that added together give a cube (9261 = 21³).

The spelling of 38535408 in words is "thirty-eight million, five hundred thirty-five thousand, four hundred eight".