34639040064 has 224 divisors, whose sum is σ = 100172007936. Its totient is φ = 10519511040.

The previous prime is 34639040057. The next prime is 34639040077. The reversal of 34639040064 is 46004093643.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28138329 + ... + 28139559.

It is an arithmetic number, because the mean of its divisors is an integer number (447196464).

Almost surely, 2^34639040064 is an apocalyptic number.

34639040064 is a gapful number since it is divisible by the number (34) 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 34639040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086003968).

34639040064 is an abundant number, since it is smaller than the sum of its proper divisors (65532967872).

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

34639040064 is a wasteful number, since it uses less digits than its factorization.

34639040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 34639040064 in words is "thirty-four billion, six hundred thirty-nine million, forty thousand, sixty-four".