378057240 has 256 divisors, whose sum is σ = 1391385600. Its totient is φ = 91301760.

The previous prime is 378057227. The next prime is 378057287. The reversal of 378057240 is 42750873.

378057240 is a `hidden beast` number, since 3 + 7 + 80 + 572 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 378057195 and 378057204.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1437349 + ... + 1437611.

It is an arithmetic number, because the mean of its divisors is an integer number (5435100).

Almost surely, 2^378057240 is an apocalyptic number.

378057240 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 378057240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695692800).

378057240 is an abundant number, since it is smaller than the sum of its proper divisors (1013328360).

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

378057240 is a wasteful number, since it uses less digits than its factorization.

378057240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 378057240 is about 19443.6940934587. The cubic root of 378057240 is about 723.0791738505.

The spelling of 378057240 in words is "three hundred seventy-eight million, fifty-seven thousand, two hundred forty".