3285923466240 has 352 divisors, whose sum is σ = 11769591029760. Its totient is φ = 869342035968.

The previous prime is 3285923466229. The next prime is 3285923466253. The reversal of 3285923466240 is 426643295823.

3285923466240 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 9 + 2 + 3 + 4 + 6 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17462899 + ... + 17650061.

Almost surely, 2^{3285923466240} is an apocalyptic number.

3285923466240 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 3285923466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884795514880).

3285923466240 is an abundant number, since it is smaller than the sum of its proper divisors (8483667563520).

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

3285923466240 is a wasteful number, since it uses less digits than its factorization.

3285923466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187324 (or 187300 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3285923466240 in words is "three trillion, two hundred eighty-five billion, nine hundred twenty-three million, four hundred sixty-six thousand, two hundred forty".