1383379200 has 648 divisors, whose sum is σ = 5851792128. Its totient is φ = 305233920.

The previous prime is 1383379181. The next prime is 1383379219. The reversal of 1383379200 is 29733831.

It is a happy number.

1383379200 is a `hidden beast` number, since 1 + 3 + 83 + 379 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1383379181) and next prime (1383379219).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18950364 + ... + 18950436.

Almost surely, 2^1383379200 is an apocalyptic number.

1383379200 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 1383379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925896064).

1383379200 is an abundant number, since it is smaller than the sum of its proper divisors (4468412928).

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

1383379200 is a wasteful number, since it uses less digits than its factorization.

1383379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1383379200 is about 37193.8059359351. The cubic root of 1383379200 is about 1114.2442813560.

The spelling of 1383379200 in words is "one billion, three hundred eighty-three million, three hundred seventy-nine thousand, two hundred".