1342089216 has 192 divisors, whose sum is σ = 4283697600. Its totient is φ = 412729344.

The previous prime is 1342089181. The next prime is 1342089241. The reversal of 1342089216 is 6129802431.

1342089216 is a `hidden beast` number, since 13 + 420 + 8 + 9 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1342089216³ (a number of 28 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 717915 + ... + 719781.

It is an arithmetic number, because the mean of its divisors is an integer number (22310925).

Almost surely, 2^1342089216 is an apocalyptic number.

1342089216 is a gapful number since it is divisible by the number (16) 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 1342089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141848800).

1342089216 is an abundant number, since it is smaller than the sum of its proper divisors (2941608384).

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

1342089216 is a wasteful number, since it uses less digits than its factorization.

1342089216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1885 counting only the distinct ones).

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

The square root of 1342089216 is about 36634.5358371032. The cubic root of 1342089216 is about 1103.0464355885.

The spelling of 1342089216 in words is "one billion, three hundred forty-two million, eighty-nine thousand, two hundred sixteen".