34305408480 has 768 divisors, whose sum is σ = 135583580160. Its totient is φ = 7122124800.

The previous prime is 34305408479. The next prime is 34305408493. The reversal of 34305408480 is 8480450343.

It is a happy number.

It is a super-2 number, since 2×34305408480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123846102 + ... + 123846378.

It is an arithmetic number, because the mean of its divisors is an integer number (176541120).

Almost surely, 2^34305408480 is an apocalyptic number.

34305408480 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 34305408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67791790080).

34305408480 is an abundant number, since it is smaller than the sum of its proper divisors (101278171680).

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

34305408480 is a wasteful number, since it uses less digits than its factorization.

34305408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 34305408480 in words is "thirty-four billion, three hundred five million, four hundred eight thousand, four hundred eighty".