378290016 has 216 divisors, whose sum is σ = 1217414016. Its totient is φ = 110753280.

The previous prime is 378289997. The next prime is 378290027. The reversal of 378290016 is 610092873.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1980481 + ... + 1980671.

It is an arithmetic number, because the mean of its divisors is an integer number (5636176).

Almost surely, 2^378290016 is an apocalyptic number.

378290016 is a gapful number since it is divisible by the number (36) 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 378290016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608707008).

378290016 is an abundant number, since it is smaller than the sum of its proper divisors (839124000).

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

378290016 is a wasteful number, since it uses less digits than its factorization.

378290016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 378290016 is about 19449.6790719024. The cubic root of 378290016 is about 723.2275472774.

The spelling of 378290016 in words is "three hundred seventy-eight million, two hundred ninety thousand, sixteen".