352041984000 has 1792 divisors, whose sum is σ = 1589879715840. Its totient is φ = 75025612800.

The previous prime is 352041983989. The next prime is 352041984061. The reversal of 352041984000 is 489140253.

352041984000 is a `hidden beast` number, since 3 + 520 + 4 + 1 + 98 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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 127 ways as a sum of consecutive naturals, for example, 3290111947 + ... + 3290112053.

Almost surely, 2^352041984000 is an apocalyptic number.

352041984000 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 352041984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794939857920).

352041984000 is an abundant number, since it is smaller than the sum of its proper divisors (1237837731840).

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

352041984000 is a wasteful number, since it uses less digits than its factorization.

352041984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 352041984000 in words is "three hundred fifty-two billion, forty-one million, nine hundred eighty-four thousand".