384515376 has 80 divisors (see below), whose sum is σ = 1145760000. Its totient is φ = 108843264.

The previous prime is 384515363. The next prime is 384515381. The reversal of 384515376 is 673515483.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31375 + ... + 41873.

It is an arithmetic number, because the mean of its divisors is an integer number (14322000).

Almost surely, 2^384515376 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 384515376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880000).

384515376 is an abundant number, since it is smaller than the sum of its proper divisors (761244624).

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

384515376 is a wasteful number, since it uses less digits than its factorization.

384515376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10626 (or 10620 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 384515376 is about 19609.0636186433. The cubic root of 384515376 is about 727.1732654967.

The spelling of 384515376 in words is "three hundred eighty-four million, five hundred fifteen thousand, three hundred seventy-six".