3429641312064 has 504 divisors, whose sum is σ = 11443209117600. Its totient is φ = 973760348160.

The previous prime is 3429641312039. The next prime is 3429641312099. The reversal of 3429641312064 is 4602131469243.

3429641312064 is a `hidden beast` number, since 3 + 4 + 29 + 6 + 413 + 1 + 206 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 419318727 + ... + 419326905.

Almost surely, 2^{3429641312064} is an apocalyptic number.

3429641312064 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 3429641312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5721604558800).

3429641312064 is an abundant number, since it is smaller than the sum of its proper divisors (8013567805536).

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

3429641312064 is a wasteful number, since it uses less digits than its factorization.

3429641312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8471 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3429641312064 in words is "three trillion, four hundred twenty-nine billion, six hundred forty-one million, three hundred twelve thousand, sixty-four".