38384400 has 120 divisors (see below), whose sum is σ = 127313280. Its totient is φ = 9873920.

The previous prime is 38384393. The next prime is 38384461. The reversal of 38384400 is 448383.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34249 + ... + 35351.

It is an arithmetic number, because the mean of its divisors is an integer number (1060944).

Almost surely, 2^38384400 is an apocalyptic number.

38384400 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 38384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63656640).

38384400 is an abundant number, since it is smaller than the sum of its proper divisors (88928880).

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

38384400 is a wasteful number, since it uses less digits than its factorization.

38384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1142 counting only the distinct ones).

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

The square root of 38384400 is about 6195.5145064797. The cubic root of 38384400 is about 337.3273739966.

The spelling of 38384400 in words is "thirty-eight million, three hundred eighty-four thousand, four hundred".