34024916920320 has 1152 divisors, whose sum is σ = 126107360870400. Its totient is φ = 8794033422336.

The previous prime is 34024916920303. The next prime is 34024916920343. The reversal of 34024916920320 is 2302961942043.

34024916920320 is a `hidden beast` number, since 3 + 4 + 0 + 249 + 1 + 69 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 12513759921 + ... + 12513762639.

It is an arithmetic number, because the mean of its divisors is an integer number (109468195200).

Almost surely, 2^{34024916920320} is an apocalyptic number.

34024916920320 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 34024916920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63053680435200).

34024916920320 is an abundant number, since it is smaller than the sum of its proper divisors (92082443950080).

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

34024916920320 is a wasteful number, since it uses less digits than its factorization.

34024916920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 34024916920320 in words is "thirty-four trillion, twenty-four billion, nine hundred sixteen million, nine hundred twenty thousand, three hundred twenty".