38013300 has 270 divisors, whose sum is σ = 140054838. Its totient is φ = 8864640.

The previous prime is 38013293. The next prime is 38013307. The reversal of 38013300 is 331083.

It is an interprime number because it is at equal distance from previous prime (38013293) and next prime (38013307).

It can be written as a sum of positive squares in 3 ways, for example, as 116964 + 37896336 = 342^2 + 6156^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38013307) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2000691 + ... + 2000709.

Almost surely, 2^38013300 is an apocalyptic number.

38013300 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 38013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70027419).

38013300 is an abundant number, since it is smaller than the sum of its proper divisors (102041538).

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

38013300 is a wasteful number, since it uses less digits than its factorization.

38013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 38013300 is about 6165.4926810434. The cubic root of 38013300 is about 336.2367591512.

Adding to 38013300 its reverse (331083), we get a palindrome (38344383).

The spelling of 38013300 in words is "thirty-eight million, thirteen thousand, three hundred".