34045876480 has 432 divisors, whose sum is σ = 105852644352. Its totient is φ = 10259251200.

The previous prime is 34045876463. The next prime is 34045876493. The reversal of 34045876480 is 8467854043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33608454 + ... + 33609466.

Almost surely, 2^34045876480 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 34045876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52926322176).

34045876480 is an abundant number, since it is smaller than the sum of its proper divisors (71806767872).

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

34045876480 is a wasteful number, since it uses less digits than its factorization.

34045876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 34045876480 in words is "thirty-four billion, forty-five million, eight hundred seventy-six thousand, four hundred eighty".