34224899466240 has 2112 divisors, whose sum is σ = 146539973099520. Its totient is φ = 7494580961280.

The previous prime is 34224899466229. The next prime is 34224899466269. The reversal of 34224899466240 is 4266499842243.

It is a happy number.

34224899466240 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 48 + 99 + 466 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29428115899 + ... + 29428117061.

It is an arithmetic number, because the mean of its divisors is an integer number (69384456960).

Almost surely, 2^{34224899466240} is an apocalyptic number.

34224899466240 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 34224899466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73269986549760).

34224899466240 is an abundant number, since it is smaller than the sum of its proper divisors (112315073633280).

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

34224899466240 is a wasteful number, since it uses less digits than its factorization.

34224899466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 34224899466240 in words is "thirty-four trillion, two hundred twenty-four billion, eight hundred ninety-nine million, four hundred sixty-six thousand, two hundred forty".