34531321520 has 80 divisors (see below), whose sum is σ = 82507421568. Its totient is φ = 13430707200.

The previous prime is 34531321477. The next prime is 34531321523. The reversal of 34531321520 is 2512313543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34531321520² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34531321523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6766970 + ... + 6772070.

Almost surely, 2^34531321520 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 34531321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41253710784).

34531321520 is an abundant number, since it is smaller than the sum of its proper divisors (47976100048).

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

34531321520 is a wasteful number, since it uses less digits than its factorization.

34531321520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 34531321520 in words is "thirty-four billion, five hundred thirty-one million, three hundred twenty-one thousand, five hundred twenty".