1338379200 has 420 divisors, whose sum is σ = 5144871600. Its totient is φ = 340623360.

The previous prime is 1338379193. The next prime is 1338379271. The reversal of 1338379200 is 29738331.

It is a happy number.

1338379200 is a `hidden beast` number, since 1 + 3 + 383 + 79 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2980576 + ... + 2981024.

Almost surely, 2^1338379200 is an apocalyptic number.

1338379200 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 1338379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572435800).

1338379200 is an abundant number, since it is smaller than the sum of its proper divisors (3806492400).

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

1338379200 is a wasteful number, since it uses less digits than its factorization.

1338379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 482 counting only the distinct ones).

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

The square root of 1338379200 is about 36583.8652960564. The cubic root of 1338379200 is about 1102.0290922411.

The spelling of 1338379200 in words is "one billion, three hundred thirty-eight million, three hundred seventy-nine thousand, two hundred".