1379435112 has 288 divisors, whose sum is σ = 4483908000. Its totient is φ = 378846720.

The previous prime is 1379435111. The next prime is 1379435129. The reversal of 1379435112 is 2115349731.

1379435112 is a `hidden beast` number, since 137 + 9 + 4 + 3 + 511 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1379435111) by changing a digit.

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, 12655314 + ... + 12655422.

It is an arithmetic number, because the mean of its divisors is an integer number (15569125).

Almost surely, 2^1379435112 is an apocalyptic number.

1379435112 is a gapful number since it is divisible by the number (12) 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 1379435112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241954000).

1379435112 is an abundant number, since it is smaller than the sum of its proper divisors (3104472888).

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

1379435112 is a wasteful number, since it uses less digits than its factorization.

1379435112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 1379435112 is about 37140.7473268915. The cubic root of 1379435112 is about 1113.1843500868.

The spelling of 1379435112 in words is "one billion, three hundred seventy-nine million, four hundred thirty-five thousand, one hundred twelve".