378184140 has 240 divisors, whose sum is σ = 1247732640. Its totient is φ = 95800320.

The previous prime is 378184087. The next prime is 378184153. The reversal of 378184140 is 41481873.

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 = 378184095 and 378184104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4249216 + ... + 4249304.

It is an arithmetic number, because the mean of its divisors is an integer number (5198886).

Almost surely, 2^378184140 is an apocalyptic number.

378184140 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 378184140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623866320).

378184140 is an abundant number, since it is smaller than the sum of its proper divisors (869548500).

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

378184140 is a wasteful number, since it uses less digits than its factorization.

378184140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 378184140 is about 19446.9570884496. The cubic root of 378184140 is about 723.1600685517.

The spelling of 378184140 in words is "three hundred seventy-eight million, one hundred eighty-four thousand, one hundred forty".