352786085028 has 144 divisors (see below), whose sum is σ = 1005154690176. Its totient is φ = 103515287040.

The previous prime is 352786084933. The next prime is 352786085147. The reversal of 352786085028 is 820580687253.

352786085028 is a `hidden beast` number, since 3 + 5 + 2 + 7 + 8 + 608 + 5 + 0 + 28 = 666.

It is a super-3 number, since 3×352786085028³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3513376 + ... + 3612392.

It is an arithmetic number, because the mean of its divisors is an integer number (6980240904).

Almost surely, 2^352786085028 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 352786085028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502577345088).

352786085028 is an abundant number, since it is smaller than the sum of its proper divisors (652368605148).

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

352786085028 is a wasteful number, since it uses less digits than its factorization.

352786085028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99394 (or 99389 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 352786085028 in words is "three hundred fifty-two billion, seven hundred eighty-six million, eighty-five thousand, twenty-eight".