378020448 has 144 divisors (see below), whose sum is σ = 1195399296. Its totient is φ = 112527360.

The previous prime is 378020443. The next prime is 378020471. The reversal of 378020448 is 844020873.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×378020448² = 285798918212241408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378020441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114436 + ... + 117692.

It is an arithmetic number, because the mean of its divisors is an integer number (8301384).

Almost surely, 2^378020448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597699648).

378020448 is an abundant number, since it is smaller than the sum of its proper divisors (817378848).

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

378020448 is a wasteful number, since it uses less digits than its factorization.

378020448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 378020448 is about 19442.7479539287. The cubic root of 378020448 is about 723.0557167394.

The spelling of 378020448 in words is "three hundred seventy-eight million, twenty thousand, four hundred forty-eight".