34968678018624 has 441 divisors, whose sum is σ = 121055751758091. Its totient is φ = 9988496259840.

The previous prime is 34968678018619. The next prime is 34968678018671. The reversal of 34968678018624 is 42681087686943.

The square root of 34968678018624 is 5913432.

It is a perfect power (a square), and thus also a powerful number.

34968678018624 is a `hidden beast` number, since 3 + 496 + 8 + 6 + 78 + 0 + 1 + 8 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (441).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8941107229 + ... + 8941111139.

Almost surely, 2^{34968678018624} is an apocalyptic number.

34968678018624 is the 5913432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34968678018624

34968678018624 is an abundant number, since it is smaller than the sum of its proper divisors (86087073739467).

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

34968678018624 is an frugal number, since it uses more digits than its factorization.

34968678018624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7866 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 34968678018624 in words is "thirty-four trillion, nine hundred sixty-eight billion, six hundred seventy-eight million, eighteen thousand, six hundred twenty-four".