378949680 has 120 divisors (see below), whose sum is σ = 1339668720. Its totient is φ = 95731200.

The previous prime is 378949667. The next prime is 378949687. The reversal of 378949680 is 86949873.

378949680 is a `hidden beast` number, since 3 + 78 + 9 + 496 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378949687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171 + ... + 27530.

It is an arithmetic number, because the mean of its divisors is an integer number (11163906).

Almost surely, 2^378949680 is an apocalyptic number.

378949680 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 378949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669834360).

378949680 is an abundant number, since it is smaller than the sum of its proper divisors (960719040).

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

378949680 is a wasteful number, since it uses less digits than its factorization.

378949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27739 (or 27730 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 378949680 is about 19466.6299086411. The cubic root of 378949680 is about 723.6476924123.

It can be divided in two parts, 37894 and 9680, that added together give a palindrome (47574).

The spelling of 378949680 in words is "three hundred seventy-eight million, nine hundred forty-nine thousand, six hundred eighty".