38314500 has 192 divisors, whose sum is σ = 132088320. Its totient is φ = 8448000.

The previous prime is 38314489. The next prime is 38314501. The reversal of 38314500 is 541383.

It is not an unprimeable number, because it can be changed into a prime (38314501) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 430456 + ... + 430544.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^38314500 is an apocalyptic number.

38314500 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 38314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

38314500 is an abundant number, since it is smaller than the sum of its proper divisors (93773820).

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

38314500 is a wasteful number, since it uses less digits than its factorization.

38314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 38314500 is about 6189.8707579399. The cubic root of 38314500 is about 337.1224859786.

Adding to 38314500 its reverse (541383), we get a palindrome (38855883).

The spelling of 38314500 in words is "thirty-eight million, three hundred fourteen thousand, five hundred".