38400468 has 12 divisors (see below), whose sum is σ = 89601120. Its totient is φ = 12800152.

The previous prime is 38400443. The next prime is 38400491. The reversal of 38400468 is 86400483.

38400468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1600008 + ... + 1600031.

It is an arithmetic number, because the mean of its divisors is an integer number (7466760).

Almost surely, 2^38400468 is an apocalyptic number.

It is an amenable number.

38400468 is an abundant number, since it is smaller than the sum of its proper divisors (51200652).

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

38400468 is a wasteful number, since it uses less digits than its factorization.

38400468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200046 (or 3200044 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38400468 is about 6196.8111154044. The cubic root of 38400468 is about 337.3744366932.

The spelling of 38400468 in words is "thirty-eight million, four hundred thousand, four hundred sixty-eight".