378102816 has 360 divisors, whose sum is σ = 1399125420. Its totient is φ = 99283968.

The previous prime is 378102757. The next prime is 378102821. The reversal of 378102816 is 618201873.

378102816 = 375³ + 376³ + ... + 381³.

378102816 is a `hidden beast` number, since 378 + 1 + 0 + 281 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 376515216 + 1587600 = 19404^2 + 1260^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1650990 + ... + 1651218.

Almost surely, 2^378102816 is an apocalyptic number.

378102816 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 378102816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699562710).

378102816 is an abundant number, since it is smaller than the sum of its proper divisors (1021022604).

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

378102816 is a wasteful number, since it uses less digits than its factorization.

378102816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 378102816 is about 19444.8660576513. The cubic root of 378102816 is about 723.1082291793.

The spelling of 378102816 in words is "three hundred seventy-eight million, one hundred two thousand, eight hundred sixteen".