378040320 has 312 divisors, whose sum is σ = 1502688096. Its totient is φ = 86114304.

The previous prime is 378040297. The next prime is 378040337. The reversal of 378040320 is 23040873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290094 + ... + 1290386.

It is an arithmetic number, because the mean of its divisors is an integer number (4816308).

Almost surely, 2^378040320 is an apocalyptic number.

378040320 is a gapful number since it is divisible by the number (30) 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 378040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751344048).

378040320 is an abundant number, since it is smaller than the sum of its proper divisors (1124647776).

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

378040320 is a wasteful number, since it uses less digits than its factorization.

378040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 378040320 is about 19443.2589860856. The cubic root of 378040320 is about 723.0683865227.

It can be divided in two parts, 3780 and 40320, that added together give a square (44100 = 210²).

The spelling of 378040320 in words is "three hundred seventy-eight million, forty thousand, three hundred twenty".