378304672 has 48 divisors (see below), whose sum is σ = 803538792. Its totient is φ = 174653440.

The previous prime is 378304651. The next prime is 378304673. The reversal of 378304672 is 276403873.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 338412816 + 39891856 = 18396^2 + 6316^2 .

It is a super-2 number, since 2×378304672² = 286228849714055168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (378304673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22272 + ... + 35392.

Almost surely, 2^378304672 is an apocalyptic number.

378304672 is a gapful number since it is divisible by the number (32) 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 378304672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401769396).

378304672 is an abundant number, since it is smaller than the sum of its proper divisors (425234120).

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

378304672 is a wasteful number, since it uses less digits than its factorization.

378304672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13201 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 378304672 is about 19450.0558353954. The cubic root of 378304672 is about 723.2368871010.

The spelling of 378304672 in words is "three hundred seventy-eight million, three hundred four thousand, six hundred seventy-two".