378705120 has 96 divisors (see below), whose sum is σ = 1244823552. Its totient is φ = 96594432.

The previous prime is 378705091. The next prime is 378705161. The reversal of 378705120 is 21507873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6112 + ... + 28191.

It is an arithmetic number, because the mean of its divisors is an integer number (12966912).

Almost surely, 2^378705120 is an apocalyptic number.

378705120 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 378705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622411776).

378705120 is an abundant number, since it is smaller than the sum of its proper divisors (866118432).

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

378705120 is a wasteful number, since it uses less digits than its factorization.

378705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34344 (or 34336 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 378705120 is about 19460.3473761390. The cubic root of 378705120 is about 723.4919871619.

The spelling of 378705120 in words is "three hundred seventy-eight million, seven hundred five thousand, one hundred twenty".