34682028480 has 672 divisors, whose sum is σ = 138233871360. Its totient is φ = 7892951040.

The previous prime is 34682028473. The next prime is 34682028481. The reversal of 34682028480 is 8482028643.

34682028480 is a `hidden beast` number, since 346 + 8 + 20 + 284 + 8 + 0 = 666.

It is a super-2 number, since 2×34682028480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34682028481) 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 95 ways as a sum of consecutive naturals, for example, 94501257 + ... + 94501623.

Almost surely, 2^34682028480 is an apocalyptic number.

34682028480 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 34682028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69116935680).

34682028480 is an abundant number, since it is smaller than the sum of its proper divisors (103551842880).

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

34682028480 is a wasteful number, since it uses less digits than its factorization.

34682028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 34682028480 in words is "thirty-four billion, six hundred eighty-two million, twenty-eight thousand, four hundred eighty".