34721814516480 has 5184 divisors, whose sum is σ = 173161851166080. Its totient is φ = 6506674126848.

The previous prime is 34721814516479. The next prime is 34721814516491. The reversal of 34721814516480 is 8461541812743.

It is a happy number.

34721814516480 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 1 + 8 + 145 + 16 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 135104336512 + ... + 135104336768.

It is an arithmetic number, because the mean of its divisors is an integer number (33403134870).

Almost surely, 2^{34721814516480} is an apocalyptic number.

34721814516480 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 34721814516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86580925583040).

34721814516480 is an abundant number, since it is smaller than the sum of its proper divisors (138440036649600).

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

34721814516480 is a wasteful number, since it uses less digits than its factorization.

34721814516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 34721814516480 in words is "thirty-four trillion, seven hundred twenty-one billion, eight hundred fourteen million, five hundred sixteen thousand, four hundred eighty".