38454 has 32 divisors (see below), whose sum is σ = 90720. Its totient is φ = 10752.

The previous prime is 38453. The next prime is 38459. The reversal of 38454 is 45483.

It is a happy number.

38454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1920) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2³⁸⁴⁵⁴ is an apocalyptic number.

38454 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

38454 is an abundant number, since it is smaller than the sum of its proper divisors (52266).

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

38454 is a wasteful number, since it uses less digits than its factorization.

38454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its digits is 1920, while the sum is 24.

The square root of 38454 is about 196.0969148151. The cubic root of 38454 is about 33.7531135673.

It can be divided in two parts, 384 and 54, that multiplied together give a 4-th power (20736 = 12⁴).

The spelling of 38454 in words is "thirty-eight thousand, four hundred fifty-four".