34531399680 has 384 divisors, whose sum is σ = 115907500800. Its totient is φ = 8764915712.

The previous prime is 34531399633. The next prime is 34531399681. The reversal of 34531399680 is 8699313543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34531399681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73942807 + ... + 73943273.

It is an arithmetic number, because the mean of its divisors is an integer number (301842450).

Almost surely, 2^34531399680 is an apocalyptic number.

34531399680 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 34531399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57953750400).

34531399680 is an abundant number, since it is smaller than the sum of its proper divisors (81376101120).

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

34531399680 is a wasteful number, since it uses less digits than its factorization.

34531399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 34531399680 in words is "thirty-four billion, five hundred thirty-one million, three hundred ninety-nine thousand, six hundred eighty".