1138809600 has 324 divisors, whose sum is σ = 4314708216. Its totient is φ = 285573120.

The previous prime is 1138809589. The next prime is 1138809629. The reversal of 1138809600 is 69088311.

1138809600 is a `hidden beast` number, since 11 + 38 + 8 + 0 + 9 + 600 = 666.

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

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, 978619 + ... + 979781.

Almost surely, 2^1138809600 is an apocalyptic number.

1138809600 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 1138809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157354108).

1138809600 is an abundant number, since it is smaller than the sum of its proper divisors (3175898616).

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

1138809600 is a wasteful number, since it uses less digits than its factorization.

1138809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1138809600 is about 33746.2531253471. The cubic root of 1138809600 is about 1044.2801907924.

The spelling of 1138809600 in words is "one billion, one hundred thirty-eight million, eight hundred nine thousand, six hundred".