3405333415680 has 1728 divisors, whose sum is σ = 14517240192000. Its totient is φ = 763754987520.

The previous prime is 3405333415577. The next prime is 3405333415699. The reversal of 3405333415680 is 865143335043.

It is a happy number.

3405333415680 is a `hidden beast` number, since 3 + 4 + 0 + 53 + 3 + 34 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6294516210 + ... + 6294516750.

Almost surely, 2^{3405333415680} is an apocalyptic number.

3405333415680 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 3405333415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7258620096000).

3405333415680 is an abundant number, since it is smaller than the sum of its proper divisors (11111906776320).

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

3405333415680 is an frugal number, since it uses more digits than its factorization.

3405333415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 3405333415680 in words is "three trillion, four hundred five billion, three hundred thirty-three million, four hundred fifteen thousand, six hundred eighty".