34646040405 has 12 divisors (see below), whose sum is σ = 60053136780. Its totient is φ = 18477888192.

The previous prime is 34646040397. The next prime is 34646040413. The reversal of 34646040405 is 50404064643.

34646040405 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 604 + 0 + 40 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (34646040397) and next prime (34646040413).

It can be written as a sum of positive squares in 2 ways, for example, as 9826558641 + 24819481764 = 99129^2 + 157542^2 .

It is not a de Polignac number, because 34646040405 - 2³ = 34646040397 is a prime.

It is a super-3 number, since 3×34646040405³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34646040405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384955960 + ... + 384956049.

It is an arithmetic number, because the mean of its divisors is an integer number (5004428065).

Almost surely, 2^34646040405 is an apocalyptic number.

It is an amenable number.

34646040405 is a deficient number, since it is larger than the sum of its proper divisors (25407096375).

34646040405 is a wasteful number, since it uses less digits than its factorization.

34646040405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769912020 (or 769912017 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34646040405 in words is "thirty-four billion, six hundred forty-six million, forty thousand, four hundred five".