353212314840 has 1536 divisors, whose sum is σ = 1543510425600. Its totient is φ = 68497228800.

The previous prime is 353212314821. The next prime is 353212314911. The reversal of 353212314840 is 48413212353.

353212314840 is a `hidden beast` number, since 3 + 53 + 2 + 123 + 1 + 484 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 353212314795 and 353212314804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4471041921 + ... + 4471041999.

It is an arithmetic number, because the mean of its divisors is an integer number (1004889600).

Almost surely, 2^353212314840 is an apocalyptic number.

353212314840 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 353212314840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771755212800).

353212314840 is an abundant number, since it is smaller than the sum of its proper divisors (1190298110760).

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

353212314840 is a wasteful number, since it uses less digits than its factorization.

353212314840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 353212314840 in words is "three hundred fifty-three billion, two hundred twelve million, three hundred fourteen thousand, eight hundred forty".