34411520000 has 560 divisors, whose sum is σ = 103179871872. Its totient is φ = 11304960000.

The previous prime is 34411519979. The next prime is 34411520053. The reversal of 34411520000 is 2511443.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 732159977 + ... + 732160023.

Almost surely, 2^34411520000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34411520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51589935936).

34411520000 is an abundant number, since it is smaller than the sum of its proper divisors (68768351872).

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

34411520000 is an equidigital number, since it uses as much as digits as its factorization.

34411520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 34411520000 in words is "thirty-four billion, four hundred eleven million, five hundred twenty thousand".