38200400 has 90 divisors (see below), whose sum is σ = 106815150. Its totient is φ = 13090560.

The previous prime is 38200387. The next prime is 38200403. The reversal of 38200400 is 400283.

It can be written as a sum of positive squares in 3 ways, for example, as 6210064 + 31990336 = 2492^2 + 5656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38200403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18626 + ... + 20574.

It is an arithmetic number, because the mean of its divisors is an integer number (1186835).

Almost surely, 2^38200400 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 38200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53407575).

38200400 is an abundant number, since it is smaller than the sum of its proper divisors (68614750).

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

38200400 is a wasteful number, since it uses less digits than its factorization.

38200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 38200400 is about 6180.6472153004. The cubic root of 38200400 is about 336.7875046848.

Adding to 38200400 its reverse (400283), we get a palindrome (38600683).

The spelling of 38200400 in words is "thirty-eight million, two hundred thousand, four hundred".