378907984 has 160 divisors (see below), whose sum is σ = 949939200. Its totient is φ = 145410048.

The previous prime is 378907973. The next prime is 378907993. The reversal of 378907984 is 489709873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3353112 + ... + 3353224.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2^378907984 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 378907984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474969600).

378907984 is an abundant number, since it is smaller than the sum of its proper divisors (571031216).

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

378907984 is a wasteful number, since it uses less digits than its factorization.

378907984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The square root of 378907984 is about 19465.5589182535. The cubic root of 378907984 is about 723.6211503475.

The spelling of 378907984 in words is "three hundred seventy-eight million, nine hundred seven thousand, nine hundred eighty-four".