352005984 has 144 divisors (see below), whose sum is σ = 1139733504. Its totient is φ = 102009600.

The previous prime is 352005971. The next prime is 352006009. The reversal of 352005984 is 489500253.

352005984 is a `hidden beast` number, since 3 + 520 + 0 + 59 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70449 + ... + 75279.

It is an arithmetic number, because the mean of its divisors is an integer number (7914816).

Almost surely, 2^352005984 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 352005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569866752).

352005984 is an abundant number, since it is smaller than the sum of its proper divisors (787727520).

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

352005984 is a wasteful number, since it uses less digits than its factorization.

352005984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 352005984 is about 18761.8225127518. The cubic root of 352005984 is about 706.0736681040.

The spelling of 352005984 in words is "three hundred fifty-two million, five thousand, nine hundred eighty-four".