3285479520000 has 1080 divisors, whose sum is σ = 12174465711408. Its totient is φ = 851558400000.

The previous prime is 3285479519999. The next prime is 3285479520017. The reversal of 3285479520000 is 259745823.

3285479520000 is a `hidden beast` number, since 3 + 2 + 8 + 54 + 79 + 520 + 0 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 9925919835 + ... + 9925920165.

Almost surely, 2^{3285479520000} is an apocalyptic number.

3285479520000 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 3285479520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087232855704).

3285479520000 is an abundant number, since it is smaller than the sum of its proper divisors (8888986191408).

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

3285479520000 is a wasteful number, since it uses less digits than its factorization.

3285479520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3285479520000 in words is "three trillion, two hundred eighty-five billion, four hundred seventy-nine million, five hundred twenty thousand".