38236400 has 60 divisors (see below), whose sum is σ = 97283952. Its totient is φ = 14392320.

The previous prime is 38236351. The next prime is 38236409. The reversal of 38236400 is 463283.

It is a self number, because there is not a number n which added to its sum of digits gives 38236400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38236409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3989 + ... + 9611.

Almost surely, 2^38236400 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 38236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48641976).

38236400 is an abundant number, since it is smaller than the sum of its proper divisors (59047552).

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

38236400 is a wasteful number, since it uses less digits than its factorization.

38236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5658 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 38236400 is about 6183.5588458427. The cubic root of 38236400 is about 336.8932674823.

Adding to 38236400 its reverse (463283), we get a palindrome (38699683).

The spelling of 38236400 in words is "thirty-eight million, two hundred thirty-six thousand, four hundred".