1378638900 has 144 divisors (see below), whose sum is σ = 4498809280. Its totient is φ = 362102400.

The previous prime is 1378638893. The next prime is 1378638971. The reversal of 1378638900 is 98368731.

It is a happy number.

1378638900 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 638 + 9 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177090 + ... + 184710.

Almost surely, 2^1378638900 is an apocalyptic number.

1378638900 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 1378638900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249404640).

1378638900 is an abundant number, since it is smaller than the sum of its proper divisors (3120170380).

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

1378638900 is a wasteful number, since it uses less digits than its factorization.

1378638900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1378638900 is about 37130.0269323899. The cubic root of 1378638900 is about 1112.9701316445.

The spelling of 1378638900 in words is "one billion, three hundred seventy-eight million, six hundred thirty-eight thousand, nine hundred".