351414072828 has 324 divisors, whose sum is σ = 1149202880280. Its totient is φ = 90172922112.

The previous prime is 351414072773. The next prime is 351414072871. The reversal of 351414072828 is 828270414153.

351414072828 is a `hidden beast` number, since 3 + 514 + 1 + 40 + 72 + 8 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11014363 + ... + 11046221.

It is an arithmetic number, because the mean of its divisors is an integer number (3546922470).

Almost surely, 2^351414072828 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 351414072828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574601440140).

351414072828 is an abundant number, since it is smaller than the sum of its proper divisors (797788807452).

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

351414072828 is a wasteful number, since it uses less digits than its factorization.

351414072828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31946 (or 31921 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 351414072828 in words is "three hundred fifty-one billion, four hundred fourteen million, seventy-two thousand, eight hundred twenty-eight".