34505877476 has 48 divisors (see below), whose sum is σ = 72738570240. Its totient is φ = 14008874880.

The previous prime is 34505877473. The next prime is 34505877509. The reversal of 34505877476 is 67477850543.

It is a happy number.

It is a super-4 number, since 4×34505877476⁴ (a number of 43 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34505877473) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 357860 + ... + 443931.

It is an arithmetic number, because the mean of its divisors is an integer number (1515386880).

Almost surely, 2^34505877476 is an apocalyptic number.

It is an amenable number.

34505877476 is an abundant number, since it is smaller than the sum of its proper divisors (38232692764).

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

34505877476 is a wasteful number, since it uses less digits than its factorization.

34505877476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801884 (or 801882 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 56.

The spelling of 34505877476 in words is "thirty-four billion, five hundred five million, eight hundred seventy-seven thousand, four hundred seventy-six".