34817468563920 has 160 divisors (see below), whose sum is σ = 128716505044992. Its totient is φ = 7612266410496.

The previous prime is 34817468563883. The next prime is 34817468563931. The reversal of 34817468563920 is 2936586471843.

34817468563920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34817468563920² (a number of 28 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 31 ways as a sum of consecutive naturals, for example, 450497962 + ... + 450575241.

It is a 1-persistent number, because it is pandigital, but 2⋅34817468563920 = 69634937127840 is not.

Almost surely, 2^{34817468563920} is an apocalyptic number.

34817468563920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34817468563920 is an abundant number, since it is smaller than the sum of its proper divisors (93899036481072).

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

34817468563920 is a wasteful number, since it uses less digits than its factorization.

34817468563920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901073249 (or 901073243 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 34817468563920 in words is "thirty-four trillion, eight hundred seventeen billion, four hundred sixty-eight million, five hundred sixty-three thousand, nine hundred twenty".