378321840 has 280 divisors, whose sum is σ = 1423086000. Its totient is φ = 92938752.

The previous prime is 378321833. The next prime is 378321899. The reversal of 378321840 is 48123873.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 378321795 and 378321804.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 757911 + ... + 758409.

It is an arithmetic number, because the mean of its divisors is an integer number (5082450).

Almost surely, 2^378321840 is an apocalyptic number.

378321840 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 378321840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711543000).

378321840 is an abundant number, since it is smaller than the sum of its proper divisors (1044764160).

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

378321840 is a wasteful number, since it uses less digits than its factorization.

378321840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 378321840 is about 19450.4971658824. The cubic root of 378321840 is about 723.2478274391.

The spelling of 378321840 in words is "three hundred seventy-eight million, three hundred twenty-one thousand, eight hundred forty".