38534400 has 216 divisors, whose sum is σ = 141935360. Its totient is φ = 10229760.

The previous prime is 38534399. The next prime is 38534411. The reversal of 38534400 is 443583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 172689 + ... + 172911.

Almost surely, 2^38534400 is an apocalyptic number.

38534400 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 38534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70967680).

38534400 is an abundant number, since it is smaller than the sum of its proper divisors (103400960).

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

38534400 is a wasteful number, since it uses less digits than its factorization.

38534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

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

The square root of 38534400 is about 6207.6082350612. The cubic root of 38534400 is about 337.7662097198.

Adding to 38534400 its reverse (443583), we get a palindrome (38977983).

The spelling of 38534400 in words is "thirty-eight million, five hundred thirty-four thousand, four hundred".