3283961425920 has 832 divisors, whose sum is σ = 13473898813440. Its totient is φ = 743241940992.

The previous prime is 3283961425889. The next prime is 3283961425933. The reversal of 3283961425920 is 295241693823.

3283961425920 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 9 + 6 + 1 + 42 + 592 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398680042 + ... + 398688278.

It is an arithmetic number, because the mean of its divisors is an integer number (16194589920).

Almost surely, 2^{3283961425920} is an apocalyptic number.

3283961425920 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 3283961425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736949406720).

3283961425920 is an abundant number, since it is smaller than the sum of its proper divisors (10189937387520).

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

3283961425920 is a wasteful number, since it uses less digits than its factorization.

3283961425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3283961425920 in words is "three trillion, two hundred eighty-three billion, nine hundred sixty-one million, four hundred twenty-five thousand, nine hundred twenty".