34896969607680 has 1600 divisors, whose sum is σ = 132958390118400. Its totient is φ = 8730069663744.

The previous prime is 34896969607631. The next prime is 34896969607711. The reversal of 34896969607680 is 8670696969843.

34896969607680 is a `hidden beast` number, since 3 + 489 + 6 + 9 + 6 + 9 + 60 + 76 + 8 + 0 = 666.

It is a super-2 number, since 2×34896969607680² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) 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 (81).

It is a self number, because there is not a number n which added to its sum of digits gives 34896969607680.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78774197539 + ... + 78774197981.

It is an arithmetic number, because the mean of its divisors is an integer number (83098993824).

Almost surely, 2^{34896969607680} is an apocalyptic number.

34896969607680 is a gapful number since it is divisible by the number (30) 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 34896969607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66479195059200).

34896969607680 is an abundant number, since it is smaller than the sum of its proper divisors (98061420510720).

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

34896969607680 is a wasteful number, since it uses less digits than its factorization.

34896969607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 5079158784, while the sum is 81.

The spelling of 34896969607680 in words is "thirty-four trillion, eight hundred ninety-six billion, nine hundred sixty-nine million, six hundred seven thousand, six hundred eighty".