34224768000 has 440 divisors, whose sum is σ = 127586545944. Its totient is φ = 9123840000.

The previous prime is 34224767971. The next prime is 34224768013. The reversal of 34224768000 is 86742243.

It can be written as a sum of positive squares in 4 ways, for example, as 4464377856 + 29760390144 = 66816^2 + 172512^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10366350 + ... + 10369650.

Almost surely, 2^34224768000 is an apocalyptic number.

34224768000 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 34224768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63793272972).

34224768000 is an abundant number, since it is smaller than the sum of its proper divisors (93361777944).

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

34224768000 is an equidigital number, since it uses as much as digits as its factorization.

34224768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 34224768000 in words is "thirty-four billion, two hundred twenty-four million, seven hundred sixty-eight thousand".