1378213200 has 540 divisors, whose sum is σ = 6001587228. Its totient is φ = 290304000.

The previous prime is 1378213183. The next prime is 1378213231. The reversal of 1378213200 is 23128731.

It can be written as a sum of positive squares in 6 ways, for example, as 30735936 + 1347477264 = 5544^2 + 36708^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2292900 + ... + 2293500.

Almost surely, 2^1378213200 is an apocalyptic number.

1378213200 is a gapful number since it is divisible by the number (10) 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 1378213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000793614).

1378213200 is an abundant number, since it is smaller than the sum of its proper divisors (4623374028).

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

1378213200 is a wasteful number, since it uses less digits than its factorization.

1378213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1378213200 is about 37124.2939326797. The cubic root of 1378213200 is about 1112.8555645016.

The spelling of 1378213200 in words is "one billion, three hundred seventy-eight million, two hundred thirteen thousand, two hundred".