38008467 has 24 divisors (see below), whose sum is σ = 65504400. Its totient is φ = 21718368.

The previous prime is 38008463. The next prime is 38008507. The reversal of 38008467 is 76480083.

It is not a de Polignac number, because 38008467 - 2² = 38008463 is a prime.

It is a super-4 number, since 4×38008467⁴ (a number of 31 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (38008463) 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, 13042 + ... + 15687.

It is an arithmetic number, because the mean of its divisors is an integer number (2729350).

Almost surely, 2^38008467 is an apocalyptic number.

38008467 is a deficient number, since it is larger than the sum of its proper divisors (27495933).

38008467 is a wasteful number, since it uses less digits than its factorization.

38008467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28752 (or 28739 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38008467 is about 6165.1007291041. The cubic root of 38008467 is about 336.2225088657. Note that the first 3 decimals are identical.

The spelling of 38008467 in words is "thirty-eight million, eight thousand, four hundred sixty-seven".