38193408 has 162 divisors, whose sum is σ = 121925622. Its totient is φ = 11489280.

The previous prime is 38193403. The next prime is 38193413. The reversal of 38193408 is 80439183.

It is an interprime number because it is at equal distance from previous prime (38193403) and next prime (38193413).

It can be written as a sum of positive squares in only one way, i.e., 33732864 + 4460544 = 5808^2 + 2112^2 .

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 (38193403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 278716 + ... + 278852.

Almost surely, 2^38193408 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 38193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60962811).

38193408 is an abundant number, since it is smaller than the sum of its proper divisors (83732214).

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

38193408 is a wasteful number, since it uses less digits than its factorization.

38193408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38193408 is about 6180.0815528600. The cubic root of 38193408 is about 336.7669554940.

It can be divided in two parts, 3819 and 3408, that added together give a palindrome (7227).

The spelling of 38193408 in words is "thirty-eight million, one hundred ninety-three thousand, four hundred eight".