34671662064 has 320 divisors, whose sum is σ = 112529464320. Its totient is φ = 10141148160.

The previous prime is 34671662057. The next prime is 34671662111. The reversal of 34671662064 is 46026617643.

It is a happy number.

34671662064 is a `hidden beast` number, since 3 + 4 + 6 + 7 + 16 + 620 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23378667 + ... + 23380149.

It is an arithmetic number, because the mean of its divisors is an integer number (351654576).

Almost surely, 2^34671662064 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 34671662064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56264732160).

34671662064 is an abundant number, since it is smaller than the sum of its proper divisors (77857802256).

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

34671662064 is a wasteful number, since it uses less digits than its factorization.

34671662064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 34671662064 in words is "thirty-four billion, six hundred seventy-one million, six hundred sixty-two thousand, sixty-four".