38054400 has 120 divisors (see below), whose sum is σ = 125837184. Its totient is φ = 10137600.

The previous prime is 38054383. The next prime is 38054411. The reversal of 38054400 is 445083.

It is a happy number.

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 (24).

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 11 ways as a sum of consecutive naturals, for example, 37905 + ... + 38895.

Almost surely, 2^38054400 is an apocalyptic number.

38054400 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 38054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62918592).

38054400 is an abundant number, since it is smaller than the sum of its proper divisors (87782784).

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

38054400 is an equidigital number, since it uses as much as digits as its factorization.

38054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 38054400 is about 6168.8248475702. The cubic root of 38054400 is about 336.3578952913.

Adding to 38054400 its reverse (445083), we get a palindrome (38499483).

The spelling of 38054400 in words is "thirty-eight million, fifty-four thousand, four hundred".