378880032 has 48 divisors (see below), whose sum is σ = 996976512. Its totient is φ = 125986560.

The previous prime is 378880027. The next prime is 378880039. The reversal of 378880032 is 230088873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (378880039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36798 + ... + 45954.

It is an arithmetic number, because the mean of its divisors is an integer number (20770344).

Almost surely, 2^378880032 is an apocalyptic number.

378880032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

378880032 is an abundant number, since it is smaller than the sum of its proper divisors (618096480).

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

378880032 is a wasteful number, since it uses less digits than its factorization.

378880032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9601 (or 9593 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 378880032 is about 19464.8409189492. The cubic root of 378880032 is about 723.6033560925.

The spelling of 378880032 in words is "three hundred seventy-eight million, eight hundred eighty thousand, thirty-two".