38501120 has 72 divisors (see below), whose sum is σ = 105421344. Its totient is φ = 13197312.

The previous prime is 38501117. The next prime is 38501123. The reversal of 38501120 is 2110583.

It is an interprime number because it is at equal distance from previous prime (38501117) and next prime (38501123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 38501092 and 38501101.

It is not an unprimeable number, because it can be changed into a prime (38501123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6812 + ... + 11108.

Almost surely, 2^38501120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52710672).

38501120 is an abundant number, since it is smaller than the sum of its proper divisors (66920224).

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

38501120 is an equidigital number, since it uses as much as digits as its factorization.

38501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 38501120 is about 6204.9270745110. The cubic root of 38501120 is about 337.6689451367.

The spelling of 38501120 in words is "thirty-eight million, five hundred one thousand, one hundred twenty".