34004662321 has 16 divisors (see below), whose sum is σ = 40131376128. Its totient is φ = 28195891200.

The previous prime is 34004662283. The next prime is 34004662357. The reversal of 34004662321 is 12326640043.

It is a cyclic number.

It is not a de Polignac number, because 34004662321 - 2²³ = 33996273713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34004662421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568941 + ... + 625861.

It is an arithmetic number, because the mean of its divisors is an integer number (2508211008).

Almost surely, 2^34004662321 is an apocalyptic number.

34004662321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34004662321 is a deficient number, since it is larger than the sum of its proper divisors (6126713807).

34004662321 is a wasteful number, since it uses less digits than its factorization.

34004662321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59712.

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 34004662321 in words is "thirty-four billion, four million, six hundred sixty-two thousand, three hundred twenty-one".