38313000 has 320 divisors, whose sum is σ = 149497920. Its totient is φ = 9072000.

The previous prime is 38312977. The next prime is 38313001. The reversal of 38313000 is 31383.

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

It is not an unprimeable number, because it can be changed into a prime (38313001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 890979 + ... + 891021.

It is an arithmetic number, because the mean of its divisors is an integer number (467181).

Almost surely, 2^38313000 is an apocalyptic number.

38313000 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 38313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74748960).

38313000 is an abundant number, since it is smaller than the sum of its proper divisors (111184920).

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

38313000 is a wasteful number, since it uses less digits than its factorization.

38313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

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

The square root of 38313000 is about 6189.7495910578. The cubic root of 38313000 is about 337.1180865099.

Adding to 38313000 its reverse (31383), we get a palindrome (38344383).

It can be divided in two parts, 3 and 8313000, that added together give a triangular number (8313003 = T₄₀₇₇).

The spelling of 38313000 in words is "thirty-eight million, three hundred thirteen thousand".