352684080000 has 1920 divisors, whose sum is σ = 1590690816000. Its totient is φ = 73156608000.

The previous prime is 352684079987. The next prime is 352684080011. The reversal of 352684080000 is 80486253.

352684080000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 2777039937 + ... + 2777040063.

It is an arithmetic number, because the mean of its divisors is an integer number (828484800).

Almost surely, 2^352684080000 is an apocalyptic number.

352684080000 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 352684080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795345408000).

352684080000 is an abundant number, since it is smaller than the sum of its proper divisors (1238006736000).

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

352684080000 is a wasteful number, since it uses less digits than its factorization.

352684080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 352684080000 in words is "three hundred fifty-two billion, six hundred eighty-four million, eighty thousand".