378088704 has 324 divisors, whose sum is σ = 1349512164. Its totient is φ = 101154816.

The previous prime is 378088699. The next prime is 378088717. The reversal of 378088704 is 407880873.

It can be written as a sum of positive squares in 2 ways, for example, as 341510400 + 36578304 = 18480^2 + 6048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 378088704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1919134 + ... + 1919330.

It is an arithmetic number, because the mean of its divisors is an integer number (4165161).

Almost surely, 2^378088704 is an apocalyptic number.

378088704 is a gapful number since it is divisible by the number (34) 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 378088704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674756082).

378088704 is an abundant number, since it is smaller than the sum of its proper divisors (971423460).

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

378088704 is a wasteful number, since it uses less digits than its factorization.

378088704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 378088704 is about 19444.5031821335. The cubic root of 378088704 is about 723.0992328342.

The spelling of 378088704 in words is "three hundred seventy-eight million, eighty-eight thousand, seven hundred four".