38413200 has 240 divisors, whose sum is σ = 149454720. Its totient is φ = 8232960.

The previous prime is 38413171. The next prime is 38413211. The reversal of 38413200 is 231483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142666 + ... + 142934.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 2^38413200 is an apocalyptic number.

38413200 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 38413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

38413200 is an abundant number, since it is smaller than the sum of its proper divisors (111041520).

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

38413200 is a wasteful number, since it uses less digits than its factorization.

38413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 38413200 is about 6197.8383328383. The cubic root of 38413200 is about 337.4117190226.

Adding to 38413200 its reverse (231483), we get a palindrome (38644683).

The spelling of 38413200 in words is "thirty-eight million, four hundred thirteen thousand, two hundred".