34676639712 has 288 divisors, whose sum is σ = 122668771680. Its totient is φ = 9129000960.

The previous prime is 34676639633. The next prime is 34676639717. The reversal of 34676639712 is 21793667643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34676639717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675364 + ... + 724892.

It is an arithmetic number, because the mean of its divisors is an integer number (425933235).

Almost surely, 2^34676639712 is an apocalyptic number.

34676639712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34676639712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61334385840).

34676639712 is an abundant number, since it is smaller than the sum of its proper divisors (87992131968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34676639712 is a wasteful number, since it uses less digits than its factorization.

34676639712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49586 (or 49575 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 34676639712 in words is "thirty-four billion, six hundred seventy-six million, six hundred thirty-nine thousand, seven hundred twelve".