38401008 has 60 divisors (see below), whose sum is σ = 101323128. Its totient is φ = 12531200.

The previous prime is 38401003. The next prime is 38401009. The reversal of 38401008 is 80010483.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380158 + ... + 380258.

Almost surely, 2^38401008 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 38401008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50661564).

38401008 is an abundant number, since it is smaller than the sum of its proper divisors (62922120).

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

38401008 is a wasteful number, since it uses less digits than its factorization.

38401008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 38401008 is about 6196.8546860484. The cubic root of 38401008 is about 337.3760181092.

The spelling of 38401008 in words is "thirty-eight million, four hundred one thousand, eight".