378632016 has 240 divisors, whose sum is σ = 1307297280. Its totient is φ = 104509440.

The previous prime is 378632011. The next prime is 378632021. The reversal of 378632016 is 610236873.

It is a happy number.

378632016 is a `hidden beast` number, since 3 + 7 + 8 + 632 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (378632011) and next prime (378632021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378632011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655920 + ... + 656496.

It is an arithmetic number, because the mean of its divisors is an integer number (5447072).

Almost surely, 2^378632016 is an apocalyptic number.

378632016 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 378632016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653648640).

378632016 is an abundant number, since it is smaller than the sum of its proper divisors (928665264).

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

378632016 is a wasteful number, since it uses less digits than its factorization.

378632016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 378632016 is about 19458.4690045235. The cubic root of 378632016 is about 723.4454306557.

Adding to 378632016 its reverse (610236873), we get a palindrome (988868889).

The spelling of 378632016 in words is "three hundred seventy-eight million, six hundred thirty-two thousand, sixteen".