3285915984 has 120 divisors (see below), whose sum is σ = 10270335712. Its totient is φ = 1011035520.

The previous prime is 3285915979. The next prime is 3285915989. The reversal of 3285915984 is 4895195823.

It is an interprime number because it is at equal distance from previous prime (3285915979) and next prime (3285915989).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3285915984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285915989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18039 + ... + 83049.

Almost surely, 2^3285915984 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 3285915984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135167856).

3285915984 is an abundant number, since it is smaller than the sum of its proper divisors (6984419728).

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

3285915984 is a wasteful number, since it uses less digits than its factorization.

3285915984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65047 (or 65029 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 3285915984 is about 57322.9097656426. The cubic root of 3285915984 is about 1486.6845163544.

The spelling of 3285915984 in words is "three billion, two hundred eighty-five million, nine hundred fifteen thousand, nine hundred eighty-four".