378702240 has 192 divisors, whose sum is σ = 1397088000. Its totient is φ = 84418560.

The previous prime is 378702229. The next prime is 378702241. The reversal of 378702240 is 42207873.

It is not an unprimeable number, because it can be changed into a prime (378702241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136386 + ... + 139134.

It is an arithmetic number, because the mean of its divisors is an integer number (7276500).

Almost surely, 2^378702240 is an apocalyptic number.

378702240 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 378702240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698544000).

378702240 is an abundant number, since it is smaller than the sum of its proper divisors (1018385760).

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

378702240 is a wasteful number, since it uses less digits than its factorization.

378702240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 378702240 is about 19460.2733793747. The cubic root of 378702240 is about 723.4901531385.

The spelling of 378702240 in words is "three hundred seventy-eight million, seven hundred two thousand, two hundred forty".