38118408 has 64 divisors (see below), whose sum is σ = 101088000. Its totient is φ = 11944512.

The previous prime is 38118401. The next prime is 38118413. The reversal of 38118408 is 80481183.

It is a happy number.

38118408 is nontrivially palindromic in base 7.

It is not an unprimeable number, because it can be changed into a prime (38118401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81391 + ... + 81857.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 2^38118408 is an apocalyptic number.

38118408 is a gapful number since it is divisible by the number (38) 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 38118408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544000).

38118408 is an abundant number, since it is smaller than the sum of its proper divisors (62969592).

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

38118408 is a wasteful number, since it uses less digits than its factorization.

38118408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 38118408 is about 6174.0106899810. The cubic root of 38118408 is about 336.5463757859.

The spelling of 38118408 in words is "thirty-eight million, one hundred eighteen thousand, four hundred eight".