34012224000000 has 1183 divisors, whose sum is σ = 127528558062781. Its totient is φ = 9069926400000.

The previous prime is 34012223999987. The next prime is 34012224000011. The reversal of 34012224000000 is 42221043.

The square root of 34012224000000 is 5832000.

The cubic root of 34012224000000 is 32400.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

34012224000000 is a `hidden beast` number, since 3 + 40 + 1 + 222 + 400 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29797973397504 + 4214250602496 = 5458752^2 + 2052864^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 6802444799998 + ... + 6802444800002.

Almost surely, 2^{34012224000000} is an apocalyptic number.

34012224000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34012224000000 is the 5832000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34012224000000

34012224000000 is an abundant number, since it is smaller than the sum of its proper divisors (93516334062781).

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

34012224000000 is an frugal number, since it uses more digits than its factorization.

34012224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34012224000000 its reverse (42221043), we get a palindrome (34012266221043).

The spelling of 34012224000000 in words is "thirty-four trillion, twelve billion, two hundred twenty-four million", and thus it is an aban number.