3398758468560 has 640 divisors, whose sum is σ = 14416997253120. Its totient is φ = 716673484800.

The previous prime is 3398758468541. The next prime is 3398758468583. The reversal of 3398758468560 is 658648578933.

It is a happy number.

3398758468560 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 7 + 58 + 4 + 6 + 8 + 560 = 666.

3398758468560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 414934065 + ... + 414942255.

It is an arithmetic number, because the mean of its divisors is an integer number (22526558208).

Almost surely, 2^{3398758468560} is an apocalyptic number.

3398758468560 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 3398758468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208498626560).

3398758468560 is an abundant number, since it is smaller than the sum of its proper divisors (11018238784560).

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

3398758468560 is a wasteful number, since it uses less digits than its factorization.

3398758468560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 3398758468560 in words is "three trillion, three hundred ninety-eight billion, seven hundred fifty-eight million, four hundred sixty-eight thousand, five hundred sixty".