38354400 has 216 divisors, whose sum is σ = 154771344. Its totient is φ = 8755200.

The previous prime is 38354399. The next prime is 38354401. The reversal of 38354400 is 445383.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38354399) and next prime (38354401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38354401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50020 + ... + 50780.

It is an arithmetic number, because the mean of its divisors is an integer number (716534).

Almost surely, 2^38354400 is an apocalyptic number.

38354400 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 38354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77385672).

38354400 is an abundant number, since it is smaller than the sum of its proper divisors (116416944).

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

38354400 is a wasteful number, since it uses less digits than its factorization.

38354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38354400 is about 6193.0929268016. The cubic root of 38354400 is about 337.2394697195.

Adding to 38354400 its reverse (445383), we get a palindrome (38799783).

The spelling of 38354400 in words is "thirty-eight million, three hundred fifty-four thousand, four hundred".