34764415137 has 16 divisors (see below), whose sum is σ = 51583210560. Its totient is φ = 23140108800.

The previous prime is 34764415109. The next prime is 34764415139. The reversal of 34764415137 is 73151446743.

34764415137 is a `hidden beast` number, since 3 + 4 + 76 + 441 + 5 + 137 = 666.

It is not a de Polignac number, because 34764415137 - 2¹⁶ = 34764349601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34764415092 and 34764415101.

It is not an unprimeable number, because it can be changed into a prime (34764415139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987039 + ... + 1021652.

It is an arithmetic number, because the mean of its divisors is an integer number (3223950660).

Almost surely, 2^34764415137 is an apocalyptic number.

It is an amenable number.

34764415137 is a deficient number, since it is larger than the sum of its proper divisors (16818795423).

34764415137 is a wasteful number, since it uses less digits than its factorization.

34764415137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009341 (or 2009335 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 34764415137 in words is "thirty-four billion, seven hundred sixty-four million, four hundred fifteen thousand, one hundred thirty-seven".