1138636800 has 432 divisors, whose sum is σ = 4673607120. Its totient is φ = 259522560.

The previous prime is 1138636799. The next prime is 1138636817. The reversal of 1138636800 is 86368311.

1138636800 is a `hidden beast` number, since 1 + 13 + 8 + 636 + 8 + 0 + 0 = 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 35 ways as a sum of consecutive naturals, for example, 3225424 + ... + 3225776.

It is an arithmetic number, because the mean of its divisors is an integer number (10818535).

Almost surely, 2^1138636800 is an apocalyptic number.

1138636800 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 1138636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336803560).

1138636800 is an abundant number, since it is smaller than the sum of its proper divisors (3534970320).

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

1138636800 is a wasteful number, since it uses less digits than its factorization.

1138636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1138636800 is about 33743.6927439781. The cubic root of 1138636800 is about 1044.2273693360.

Adding to 1138636800 its product of nonzero digits (20736), we get a square (1138657536 = 33744²).

The spelling of 1138636800 in words is "one billion, one hundred thirty-eight million, six hundred thirty-six thousand, eight hundred".