378960384 has 120 divisors (see below), whose sum is σ = 1110241440. Its totient is φ = 114780160.

The previous prime is 378960353. The next prime is 378960391. The reversal of 378960384 is 483069873.

It is a super-2 number, since 2×378960384² = 287221945282854912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184837 + ... + 186875.

It is an arithmetic number, because the mean of its divisors is an integer number (9252012).

Almost surely, 2^378960384 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 378960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555120720).

378960384 is an abundant number, since it is smaller than the sum of its proper divisors (731281056).

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

378960384 is a wasteful number, since it uses less digits than its factorization.

378960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 378960384 is about 19466.9048387256. The cubic root of 378960384 is about 723.6545058516.

The spelling of 378960384 in words is "three hundred seventy-eight million, nine hundred sixty thousand, three hundred eighty-four".