3409496064000 has 2880 divisors, whose sum is σ = 15004211668992. Its totient is φ = 764411904000.

The previous prime is 3409496063989. The next prime is 3409496064053. The reversal of 3409496064000 is 4606949043.

It is a happy number.

3409496064000 is a `hidden beast` number, since 34 + 0 + 9 + 4 + 9 + 606 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109983743985 + ... + 109983744015.

Almost surely, 2^{3409496064000} is an apocalyptic number.

3409496064000 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 3409496064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502105834496).

3409496064000 is an abundant number, since it is smaller than the sum of its proper divisors (11594715604992).

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

3409496064000 is an equidigital number, since it uses as much as digits as its factorization.

3409496064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3409496064000 in words is "three trillion, four hundred nine billion, four hundred ninety-six million, sixty-four thousand".