38438400 has 480 divisors, whose sum is σ = 170489088. Its totient is φ = 7372800.

The previous prime is 38438381. The next prime is 38438417. The reversal of 38438400 is 483483.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956794 + ... + 2956806.

Almost surely, 2^38438400 is an apocalyptic number.

38438400 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 38438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85244544).

38438400 is an abundant number, since it is smaller than the sum of its proper divisors (132050688).

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

38438400 is a wasteful number, since it uses less digits than its factorization.

38438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 38438400 is about 6199.8709663992. The cubic root of 38438400 is about 337.4854863443.

It can be divided in two parts, 384 and 38400, that multiplied together give a square (14745600 = 3840²).

The spelling of 38438400 in words is "thirty-eight million, four hundred thirty-eight thousand, four hundred".