38720000 has 150 divisors (see below), whose sum is σ = 106262079. Its totient is φ = 14080000.

The previous prime is 38719987. The next prime is 38720009. The reversal of 38720000 is 2783.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 8952064 + 29767936 = 2992^2 + 5456^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4400.

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

It is not an unprimeable number, because it can be changed into a prime (38720009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3519995 + ... + 3520005.

Almost surely, 2^38720000 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 38720000

38720000 is an abundant number, since it is smaller than the sum of its proper divisors (67542079).

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

38720000 is an frugal number, since it uses more digits than its factorization.

38720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 38720000 is about 6222.5396744416. The cubic root of 38720000 is about 338.3076223246.

Adding to 38720000 its reverse (2783), we get a palindrome (38722783).

The spelling of 38720000 in words is "thirty-eight million, seven hundred twenty thousand".