3408285081600 has 1680 divisors, whose sum is σ = 14748631920000. Its totient is φ = 777736028160.

The previous prime is 3408285081577. The next prime is 3408285081613. The reversal of 3408285081600 is 61805828043.

3408285081600 is a `hidden beast` number, since 3 + 4 + 0 + 82 + 8 + 508 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5689958101 + ... + 5689958699.

Almost surely, 2^{3408285081600} is an apocalyptic number.

3408285081600 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 3408285081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374315960000).

3408285081600 is an abundant number, since it is smaller than the sum of its proper divisors (11340346838400).

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

3408285081600 is an frugal number, since it uses more digits than its factorization.

3408285081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 3408285081600 in words is "three trillion, four hundred eight billion, two hundred eighty-five million, eighty-one thousand, six hundred".