1378748800 has 384 divisors, whose sum is σ = 4207230720. Its totient is φ = 439296000.

The previous prime is 1378748783. The next prime is 1378748803. The reversal of 1378748800 is 88478731.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378748803) 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, 10524735 + ... + 10524865.

It is an arithmetic number, because the mean of its divisors is an integer number (10956330).

Almost surely, 2^1378748800 is an apocalyptic number.

1378748800 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 1378748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103615360).

1378748800 is an abundant number, since it is smaller than the sum of its proper divisors (2828481920).

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

1378748800 is a wasteful number, since it uses less digits than its factorization.

1378748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The square root of 1378748800 is about 37131.5068371861. The cubic root of 1378748800 is about 1112.9997048144. Note that the first 3 decimals are identical.

The spelling of 1378748800 in words is "one billion, three hundred seventy-eight million, seven hundred forty-eight thousand, eight hundred".