34012224000 has 520 divisors, whose sum is σ = 127217329668. Its totient is φ = 9069926400.

The previous prime is 34012223977. The next prime is 34012224011. The reversal of 34012224000 is 42221043.

The cubic root of 34012224000 is 3240.

It is a perfect power (a cube), and thus also a powerful number.

34012224000 is a `hidden beast` number, since 3 + 40 + 1 + 222 + 400 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22992263424 + 11019960576 = 151632^2 + 104976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 6802444798 + ... + 6802444802.

Almost surely, 2^34012224000 is an apocalyptic number.

34012224000 is a gapful number since it is divisible by the number (30) 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 34012224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63608664834).

34012224000 is an abundant number, since it is smaller than the sum of its proper divisors (93205105668).

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

34012224000 is an frugal number, since it uses more digits than its factorization.

34012224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

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

Adding to 34012224000 its reverse (42221043), we get a palindrome (34054445043).

The spelling of 34012224000 in words is "thirty-four billion, twelve million, two hundred twenty-four thousand".