38480 has 40 divisors (see below), whose sum is σ = 98952. Its totient is φ = 13824.

The previous prime is 38461. The next prime is 38501. The reversal of 38480 is 8483.

38480 = T₆₄ + T₆₅ + ... + T₇₈.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 33856 = 68^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

38480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1022 + ... + 1058.

2³⁸⁴⁸⁰ 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 38480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476).

38480 is an abundant number, since it is smaller than the sum of its proper divisors (60472).

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

38480 is a wasteful number, since it uses less digits than its factorization.

38480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 38480 is about 196.1631973638. The cubic root of 38480 is about 33.7607190461.

Adding to 38480 its sum of digits (23), we get a triangular number (38503 = T₂₇₇).

It can be divided in two parts, 384 and 80, that added together give a palindrome (464).

The spelling of 38480 in words is "thirty-eight thousand, four hundred eighty".