38934144 has 48 divisors (see below), whose sum is σ = 112040370. Its totient is φ = 12977664.

The previous prime is 38934143. The next prime is 38934149. The reversal of 38934144 is 44143983.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 4359744 = 5880^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38934099 and 38934108.

It is not an unprimeable number, because it can be changed into a prime (38934143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15747 + ... + 18050.

Almost surely, 2^38934144 is an apocalyptic number.

It is an amenable number.

38934144 is an abundant number, since it is smaller than the sum of its proper divisors (73106226).

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

38934144 is a wasteful number, since it uses less digits than its factorization.

38934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33817 (or 33802 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38934144 is about 6239.7230707781. The cubic root of 38934144 is about 338.9301550314.

The spelling of 38934144 in words is "thirty-eight million, nine hundred thirty-four thousand, one hundred forty-four".