384076 has 48 divisors (see below), whose sum is σ = 887040. Its totient is φ = 141120.

The previous prime is 384067. The next prime is 384079. The reversal of 384076 is 670483.

384076 = T₈₈ + T₈₉ + ... + T₁₄₃.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (384079) 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, 8911 + ... + 8953.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2³⁸⁴⁰⁷⁶ 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 384076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

384076 is an abundant number, since it is smaller than the sum of its proper divisors (502964).

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

384076 is a wasteful number, since it uses less digits than its factorization.

384076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 384076 is about 619.7386545956. The cubic root of 384076 is about 72.6896185763.

It can be divided in two parts, 3840 and 76, that added together give a triangular number (3916 = T₈₈).

The spelling of 384076 in words is "three hundred eighty-four thousand, seventy-six".