38053800 has 216 divisors, whose sum is σ = 137281950. Its totient is φ = 9797760.

The previous prime is 38053783. The next prime is 38053823. The reversal of 38053800 is 835083.

It can be written as a sum of positive squares in 3 ways, for example, as 28579716 + 9474084 = 5346^2 + 3078^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1312186 + ... + 1312214.

Almost surely, 2^38053800 is an apocalyptic number.

38053800 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 38053800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640975).

38053800 is an abundant number, since it is smaller than the sum of its proper divisors (99228150).

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

38053800 is an equidigital number, since it uses as much as digits as its factorization.

38053800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38053800 is about 6168.7762157498. The cubic root of 38053800 is about 336.3561275080.

Adding to 38053800 its reverse (835083), we get a palindrome (38888883).

The spelling of 38053800 in words is "thirty-eight million, fifty-three thousand, eight hundred".