378000000 has 448 divisors, whose sum is σ = 1593729600. Its totient is φ = 86400000.

The previous prime is 377999929. The next prime is 378000013. The reversal of 378000000 is 873.

378000000 = T₁₈₁ + T₁₈₂ + ... + T₁₃₁₄.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53999997 + ... + 54000003.

Almost surely, 2^378000000 is an apocalyptic number.

378000000 is a gapful number since it is divisible by the number (30) 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 378000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796864800).

378000000 is an abundant number, since it is smaller than the sum of its proper divisors (1215729600).

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

378000000 is an frugal number, since it uses more digits than its factorization.

378000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 378000000 is about 19442.2220952236. Note that the first 3 decimals coincide. The cubic root of 378000000 is about 723.0426792526.

Multiplying 378000000 by its product of nonzero digits (168), we get a square (63504000000 = 252000²).

378000000 divided by its product of nonzero digits (168) gives a square (2250000 = 1500²).

Adding to 378000000 its reverse (873), we get a palindrome (378000873).

The spelling of 378000000 in words is "three hundred seventy-eight million", and thus it is an aban number.