378813312 has 288 divisors, whose sum is σ = 1247341680. Its totient is φ = 109756416.

The previous prime is 378813311. The next prime is 378813361. The reversal of 378813312 is 213318873.

378813312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378813311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13062514 + ... + 13062542.

Almost surely, 2^378813312 is an apocalyptic number.

378813312 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 378813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623670840).

378813312 is an abundant number, since it is smaller than the sum of its proper divisors (868528368).

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

378813312 is a wasteful number, since it uses less digits than its factorization.

378813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 74 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 378813312 is about 19463.1269841205. The cubic root of 378813312 is about 723.5608785745.

The spelling of 378813312 in words is "three hundred seventy-eight million, eight hundred thirteen thousand, three hundred twelve".