34046039664 has 720 divisors, whose sum is σ = 127481840640. Its totient is φ = 8661219840.

The previous prime is 34046039659. The next prime is 34046039683. The reversal of 34046039664 is 46693064043.

34046039664 is a `hidden beast` number, since 3 + 40 + 460 + 3 + 96 + 64 = 666.

It is a super-2 number, since 2×34046039664² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110898999 + ... + 110899305.

It is an arithmetic number, because the mean of its divisors is an integer number (177058112).

Almost surely, 2^34046039664 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 34046039664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63740920320).

34046039664 is an abundant number, since it is smaller than the sum of its proper divisors (93435800976).

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

34046039664 is a wasteful number, since it uses less digits than its factorization.

34046039664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 34046039664 in words is "thirty-four billion, forty-six million, thirty-nine thousand, six hundred sixty-four".