3285678943680 has 1344 divisors, whose sum is σ = 13347094464000. Its totient is φ = 680063827968.

The previous prime is 3285678943637. The next prime is 3285678943693. The reversal of 3285678943680 is 863498765823.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3285678943680² (a number of 26 digits) contains 22 as substring.

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, 2825174779 + ... + 2825175941.

Almost surely, 2^{3285678943680} is an apocalyptic number.

3285678943680 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 3285678943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673547232000).

3285678943680 is an abundant number, since it is smaller than the sum of its proper divisors (10061415520320).

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

3285678943680 is a wasteful number, since it uses less digits than its factorization.

3285678943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 69.

The spelling of 3285678943680 in words is "three trillion, two hundred eighty-five billion, six hundred seventy-eight million, nine hundred forty-three thousand, six hundred eighty".