38774400 has 192 divisors, whose sum is σ = 146210880. Its totient is φ = 8847360.

The previous prime is 38774381. The next prime is 38774431. The reversal of 38774400 is 447783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 66912 + ... + 67488.

It is an arithmetic number, because the mean of its divisors is an integer number (761515).

Almost surely, 2^38774400 is an apocalyptic number.

38774400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73105440).

38774400 is an abundant number, since it is smaller than the sum of its proper divisors (107436480).

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

38774400 is a wasteful number, since it uses less digits than its factorization.

38774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 38774400 is about 6226.9093457348. The cubic root of 38774400 is about 338.4659842603.

The spelling of 38774400 in words is "thirty-eight million, seven hundred seventy-four thousand, four hundred".