34703668512387 has 192 divisors, whose sum is σ = 61114714685440. Its totient is φ = 18536284166400.

The previous prime is 34703668512347. The next prime is 34703668512431. The reversal of 34703668512387 is 78321586630743.

34703668512387 is a `hidden beast` number, since 3 + 4 + 7 + 0 + 36 + 6 + 8 + 512 + 3 + 87 = 666.

It is not a de Polignac number, because 34703668512387 - 2¹¹ = 34703668510339 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34703668512347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31750839813 + ... + 31750840905.

Almost surely, 2^{34703668512387} is an apocalyptic number.

34703668512387 is a deficient number, since it is larger than the sum of its proper divisors (26411046173053).

34703668512387 is a wasteful number, since it uses less digits than its factorization.

34703668512387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 34703668512387 in words is "thirty-four trillion, seven hundred three billion, six hundred sixty-eight million, five hundred twelve thousand, three hundred eighty-seven".