343828573920 has 1152 divisors, whose sum is σ = 1365264875520. Its totient is φ = 78173061120.

The previous prime is 343828573843. The next prime is 343828574017. The reversal of 343828573920 is 29375828343.

343828573920 is a `hidden beast` number, since 3 + 43 + 8 + 2 + 8 + 573 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1438613161 + ... + 1438613399.

It is an arithmetic number, because the mean of its divisors is an integer number (1185125760).

Almost surely, 2^343828573920 is an apocalyptic number.

343828573920 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 343828573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682632437760).

343828573920 is an abundant number, since it is smaller than the sum of its proper divisors (1021436301600).

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

343828573920 is a wasteful number, since it uses less digits than its factorization.

343828573920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 343828573920 in words is "three hundred forty-three billion, eight hundred twenty-eight million, five hundred seventy-three thousand, nine hundred twenty".