34406263561420 has 24 divisors (see below), whose sum is σ = 72928416600144. Its totient is φ = 13633883877696.

The previous prime is 34406263561393. The next prime is 34406263561447. The reversal of 34406263561420 is 2416536260443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34406263561393) and next prime (34406263561447).

It is a super-2 number, since 2×34406263561420² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8038844487 + ... + 8038848766.

It is an arithmetic number, because the mean of its divisors is an integer number (3038684025006).

Almost surely, 2^{34406263561420} is an apocalyptic number.

It is an amenable number.

34406263561420 is an abundant number, since it is smaller than the sum of its proper divisors (38522153038724).

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

34406263561420 is a wasteful number, since it uses less digits than its factorization.

34406263561420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16077693369 (or 16077693367 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 46.

The spelling of 34406263561420 in words is "thirty-four trillion, four hundred six billion, two hundred sixty-three million, five hundred sixty-one thousand, four hundred twenty".