378649920 has 224 divisors, whose sum is σ = 1369405440. Its totient is φ = 87746560.

The previous prime is 378649853. The next prime is 378649927. The reversal of 378649920 is 29946873.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 378649920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378649927) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 242101 + ... + 243659.

Almost surely, 2^378649920 is an apocalyptic number.

378649920 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 378649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684702720).

378649920 is an abundant number, since it is smaller than the sum of its proper divisors (990755520).

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

378649920 is a wasteful number, since it uses less digits than its factorization.

378649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 378649920 is about 19458.9290558345. The cubic root of 378649920 is about 723.4568334270.

The spelling of 378649920 in words is "three hundred seventy-eight million, six hundred forty-nine thousand, nine hundred twenty".