38542400 has 168 divisors, whose sum is σ = 109133640. Its totient is φ = 13271040.

The previous prime is 38542391. The next prime is 38542453. The reversal of 38542400 is 424583.

It can be written as a sum of positive squares in 12 ways, for example, as 8248384 + 30294016 = 2872^2 + 5504^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 38542400.

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, 353546 + ... + 353654.

It is an arithmetic number, because the mean of its divisors is an integer number (649605).

Almost surely, 2^38542400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54566820).

38542400 is an abundant number, since it is smaller than the sum of its proper divisors (70591240).

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

38542400 is a wasteful number, since it uses less digits than its factorization.

38542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 38542400 is about 6208.2525721816. The cubic root of 38542400 is about 337.7895822796.

Adding to 38542400 its reverse (424583), we get a palindrome (38966983).

The spelling of 38542400 in words is "thirty-eight million, five hundred forty-two thousand, four hundred".