34013402064 has 280 divisors, whose sum is σ = 108544868160. Its totient is φ = 10272531456.

The previous prime is 34013402029. The next prime is 34013402077. The reversal of 34013402064 is 46020431043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5093832 + ... + 5100504.

Almost surely, 2^34013402064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34013402064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54272434080).

34013402064 is an abundant number, since it is smaller than the sum of its proper divisors (74531466096).

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

34013402064 is a wasteful number, since it uses less digits than its factorization.

34013402064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6741 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 34013402064 in words is "thirty-four billion, thirteen million, four hundred two thousand, sixty-four".