34004677462516 has 24 divisors (see below), whose sum is σ = 62586819638784. Its totient is φ = 16143425694240.

The previous prime is 34004677462429. The next prime is 34004677462517. The reversal of 34004677462516 is 61526477640043.

It is a happy number.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004677462517) 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, 2587080880 + ... + 2587094023.

It is an arithmetic number, because the mean of its divisors is an integer number (2607784151616).

Almost surely, 2^{34004677462516} is an apocalyptic number.

It is an amenable number.

34004677462516 is a deficient number, since it is larger than the sum of its proper divisors (28582142176268).

34004677462516 is a wasteful number, since it uses less digits than its factorization.

34004677462516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174174991 (or 5174174989 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 55.

The spelling of 34004677462516 in words is "thirty-four trillion, four billion, six hundred seventy-seven million, four hundred sixty-two thousand, five hundred sixteen".