1378684800 has 384 divisors, whose sum is σ = 5133823200. Its totient is φ = 365783040.

The previous prime is 1378684799. The next prime is 1378684817. The reversal of 1378684800 is 84868731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6998302 + ... + 6998498.

Almost surely, 2^1378684800 is an apocalyptic number.

1378684800 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 1378684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566911600).

1378684800 is an abundant number, since it is smaller than the sum of its proper divisors (3755138400).

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

1378684800 is an frugal number, since it uses more digits than its factorization.

1378684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1378684800 is about 37130.6450253695. The cubic root of 1378684800 is about 1112.9824831413.

The spelling of 1378684800 in words is "one billion, three hundred seventy-eight million, six hundred eighty-four thousand, eight hundred".