3283954945920 has 1536 divisors, whose sum is σ = 13127546880000. Its totient is φ = 775088455680.

The previous prime is 3283954945897. The next prime is 3283954945961. The reversal of 3283954945920 is 295494593823.

3283954945920 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 95 + 494 + 59 + 2 + 0 = 666.

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, 22039966006 + ... + 22039966154.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580000).

Almost surely, 2^{3283954945920} is an apocalyptic number.

3283954945920 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 3283954945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563773440000).

3283954945920 is an abundant number, since it is smaller than the sum of its proper divisors (9843591934080).

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

3283954945920 is a wasteful number, since it uses less digits than its factorization.

3283954945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 3283954945920 in words is "three trillion, two hundred eighty-three billion, nine hundred fifty-four million, nine hundred forty-five thousand, nine hundred twenty".