38800320 has 112 divisors (see below), whose sum is σ = 132709920. Its totient is φ = 9547776.

The previous prime is 38800301. The next prime is 38800339. The reversal of 38800320 is 2300883.

It is an interprime number because it is at equal distance from previous prime (38800301) and next prime (38800339).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10926 + ... + 14034.

It is an arithmetic number, because the mean of its divisors is an integer number (1184910).

Almost surely, 2^38800320 is an apocalyptic number.

38800320 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 38800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66354960).

38800320 is an abundant number, since it is smaller than the sum of its proper divisors (93909600).

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

38800320 is a wasteful number, since it uses less digits than its factorization.

38800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38800320 is about 6228.9902873580. The cubic root of 38800320 is about 338.5413869673.

The spelling of 38800320 in words is "thirty-eight million, eight hundred thousand, three hundred twenty".