34414626440 has 32 divisors (see below), whose sum is σ = 79930748160. Its totient is φ = 13321790400.

The previous prime is 34414626439. The next prime is 34414626473. The reversal of 34414626440 is 4462641443.

It is a super-3 number, since 3×34414626440³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34414626394 and 34414626403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13875626 + ... + 13878105.

It is an arithmetic number, because the mean of its divisors is an integer number (2497835880).

Almost surely, 2^34414626440 is an apocalyptic number.

It is an amenable number.

34414626440 is an abundant number, since it is smaller than the sum of its proper divisors (45516121720).

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

34414626440 is a wasteful number, since it uses less digits than its factorization.

34414626440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27753773 (or 27753769 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 34414626440 in words is "thirty-four billion, four hundred fourteen million, six hundred twenty-six thousand, four hundred forty".