38754400 has 72 divisors (see below), whose sum is σ = 95478264. Its totient is φ = 15360000.

The previous prime is 38754377. The next prime is 38754413. The reversal of 38754400 is 445783.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154275 + ... + 154525.

It is an arithmetic number, because the mean of its divisors is an integer number (1326087).

Almost surely, 2^38754400 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 38754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47739132).

38754400 is an abundant number, since it is smaller than the sum of its proper divisors (56723864).

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

38754400 is a wasteful number, since it uses less digits than its factorization.

38754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 38754400 is about 6225.3032054672. The cubic root of 38754400 is about 338.4077801884.

The spelling of 38754400 in words is "thirty-eight million, seven hundred fifty-four thousand, four hundred".