34305031680 has 320 divisors, whose sum is σ = 117293349888. Its totient is φ = 8522956800.

The previous prime is 34305031643. The next prime is 34305031681. The reversal of 34305031680 is 8613050343.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305031681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13446405 + ... + 13448955.

Almost surely, 2^34305031680 is an apocalyptic number.

34305031680 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 34305031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58646674944).

34305031680 is an abundant number, since it is smaller than the sum of its proper divisors (82988318208).

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

34305031680 is a wasteful number, since it uses less digits than its factorization.

34305031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 34305031680 in words is "thirty-four billion, three hundred five million, thirty-one thousand, six hundred eighty".