38301120 has 448 divisors, whose sum is σ = 163860480. Its totient is φ = 8294400.

The previous prime is 38301113. The next prime is 38301121. The reversal of 38301120 is 2110383.

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

It is a junction number, because it is equal to n+sod(n) for n = 38301093 and 38301102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38301121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235505 + ... + 1235535.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 2^38301120 is an apocalyptic number.

38301120 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 38301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

38301120 is an abundant number, since it is smaller than the sum of its proper divisors (125559360).

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

38301120 is a wasteful number, since it uses less digits than its factorization.

38301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 38301120 is about 6188.7898655553. The cubic root of 38301120 is about 337.0832386612.

It can be divided in two parts, 3830 and 1120, that added together give a triangular number (4950 = T₉₉).

The spelling of 38301120 in words is "thirty-eight million, three hundred one thousand, one hundred twenty".