34006012461 has 8 divisors (see below), whose sum is σ = 50379277760. Its totient is φ = 22670674956.

The previous prime is 34006012363. The next prime is 34006012517. The reversal of 34006012461 is 16421060043.

34006012461 is a `hidden beast` number, since 34 + 0 + 0 + 601 + 24 + 6 + 1 = 666.

It is not a de Polignac number, because 34006012461 - 2⁷ = 34006012333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1259481943 = 34006012461 / (3 + 4 + 0 + 0 + 6 + 0 + 1 + 2 + 4 + 6 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34006012561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629740945 + ... + 629740998.

It is an arithmetic number, because the mean of its divisors is an integer number (6297409720).

Almost surely, 2^34006012461 is an apocalyptic number.

It is an amenable number.

34006012461 is a deficient number, since it is larger than the sum of its proper divisors (16373265299).

34006012461 is a wasteful number, since it uses less digits than its factorization.

34006012461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259481952 (or 1259481946 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 34006012461 in words is "thirty-four billion, six million, twelve thousand, four hundred sixty-one".