38044080 has 240 divisors, whose sum is σ = 140824320. Its totient is φ = 9517824.

The previous prime is 38044063. The next prime is 38044081. The reversal of 38044080 is 8044083.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38044081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369309 + ... + 369411.

It is an arithmetic number, because the mean of its divisors is an integer number (586768).

Almost surely, 2^38044080 is an apocalyptic number.

38044080 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 38044080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70412160).

38044080 is an abundant number, since it is smaller than the sum of its proper divisors (102780240).

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

38044080 is a wasteful number, since it uses less digits than its factorization.

38044080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38044080 is about 6167.9883268372. The cubic root of 38044080 is about 336.3274868294.

The spelling of 38044080 in words is "thirty-eight million, forty-four thousand, eighty".