378952080 has 120 divisors (see below), whose sum is σ = 1272204288. Its totient is φ = 93270528.

The previous prime is 378952051. The next prime is 378952087. The reversal of 378952080 is 80259873.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (378952087) 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 23 ways as a sum of consecutive naturals, for example, 35889 + ... + 45231.

Almost surely, 2^378952080 is an apocalyptic number.

378952080 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 378952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636102144).

378952080 is an abundant number, since it is smaller than the sum of its proper divisors (893252208).

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

378952080 is a wasteful number, since it uses less digits than its factorization.

378952080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 378952080 is about 19466.6915524955. The cubic root of 378952080 is about 723.6492201004.

The spelling of 378952080 in words is "three hundred seventy-eight million, nine hundred fifty-two thousand, eighty".