378329616 has 120 divisors (see below), whose sum is σ = 1254961344. Its totient is φ = 108086400.

The previous prime is 378329603. The next prime is 378329617. The reversal of 378329616 is 616923873.

378329616 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 29 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (378329617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20266 + ... + 34166.

Almost surely, 2^378329616 is an apocalyptic number.

378329616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378329616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627480672).

378329616 is an abundant number, since it is smaller than the sum of its proper divisors (876631728).

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

378329616 is a wasteful number, since it uses less digits than its factorization.

378329616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13931 (or 13913 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 378329616 is about 19450.6970569180. The cubic root of 378329616 is about 723.2527825998.

The spelling of 378329616 in words is "three hundred seventy-eight million, three hundred twenty-nine thousand, six hundred sixteen".