38052000 has 288 divisors, whose sum is σ = 155361024. Its totient is φ = 8640000.

The previous prime is 38051989. The next prime is 38052017. The reversal of 38052000 is 25083.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251925 + ... + 252075.

It is an arithmetic number, because the mean of its divisors is an integer number (539448).

Almost surely, 2^38052000 is an apocalyptic number.

38052000 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 38052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77680512).

38052000 is an abundant number, since it is smaller than the sum of its proper divisors (117309024).

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

38052000 is a wasteful number, since it uses less digits than its factorization.

38052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 38052000 is about 6168.6303179879. The cubic root of 38052000 is about 336.3508240466.

Adding to 38052000 its reverse (25083), we get a palindrome (38077083).

The spelling of 38052000 in words is "thirty-eight million, fifty-two thousand".