34346515441 has 16 divisors (see below), whose sum is σ = 42651996160. Its totient is φ = 26990709840.

The previous prime is 34346515373. The next prime is 34346515451. The reversal of 34346515441 is 14451564343.

It is a cyclic number.

It is not a de Polignac number, because 34346515441 - 2⁹ = 34346514929 is a prime.

It is a super-3 number, since 3×34346515441³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34346515394 and 34346515403.

It is not an unprimeable number, because it can be changed into a prime (34346515451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4161111 + ... + 4169356.

It is an arithmetic number, because the mean of its divisors is an integer number (2665749760).

Almost surely, 2^34346515441 is an apocalyptic number.

34346515441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34346515441 is a deficient number, since it is larger than the sum of its proper divisors (8305480719).

34346515441 is a wasteful number, since it uses less digits than its factorization.

34346515441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8330524.

The product of its digits is 345600, while the sum is 40.

The spelling of 34346515441 in words is "thirty-four billion, three hundred forty-six million, five hundred fifteen thousand, four hundred forty-one".