34404909611520 has 960 divisors, whose sum is σ = 132954185244672. Its totient is φ = 7559516160000.

The previous prime is 34404909611519. The next prime is 34404909611533. The reversal of 34404909611520 is 2511690940443.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×34404909611520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34404909611520.

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 95 ways as a sum of consecutive naturals, for example, 1761544155 + ... + 1761563685.

Almost surely, 2^{34404909611520} is an apocalyptic number.

34404909611520 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 34404909611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66477092622336).

34404909611520 is an abundant number, since it is smaller than the sum of its proper divisors (98549275633152).

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

34404909611520 is a wasteful number, since it uses less digits than its factorization.

34404909611520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19753 (or 19730 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 34404909611520 in words is "thirty-four trillion, four hundred four billion, nine hundred nine million, six hundred eleven thousand, five hundred twenty".