3285414944 has 96 divisors (see below), whose sum is σ = 8119802880. Its totient is φ = 1275892992.

The previous prime is 3285414931. The next prime is 3285414953. The reversal of 3285414944 is 4494145823.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3285414895 and 3285414904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81107 + ... + 114669.

It is an arithmetic number, because the mean of its divisors is an integer number (84581280).

Almost surely, 2^3285414944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285414944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059901440).

3285414944 is an abundant number, since it is smaller than the sum of its proper divisors (4834387936).

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

3285414944 is a wasteful number, since it uses less digits than its factorization.

3285414944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33622 (or 33614 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The square root of 3285414944 is about 57318.5392695941. The cubic root of 3285414944 is about 1486.6089487625.

The spelling of 3285414944 in words is "three billion, two hundred eighty-five million, four hundred fourteen thousand, nine hundred forty-four".