38007891 has 24 divisors (see below), whose sum is σ = 59145216. Its totient is φ = 23451120.

The previous prime is 38007887. The next prime is 38007899. The reversal of 38007891 is 19870083.

38007891 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38007891 - 2² = 38007887 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38007899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3456 + ... + 9378.

It is an arithmetic number, because the mean of its divisors is an integer number (2464384).

Almost surely, 2^38007891 is an apocalyptic number.

38007891 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

38007891 is a deficient number, since it is larger than the sum of its proper divisors (21137325).

38007891 is a wasteful number, since it uses less digits than its factorization.

38007891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 38007891 is about 6165.0540143619. The cubic root of 38007891 is about 336.2208104271.

The spelling of 38007891 in words is "thirty-eight million, seven thousand, eight hundred ninety-one".