343793906820 has 792 divisors, whose sum is σ = 1359624601944. Its totient is φ = 72378012672.

The previous prime is 343793906809. The next prime is 343793906821. The reversal of 343793906820 is 28609397343.

It can be written as a sum of positive squares in 4 ways, for example, as 36294822144 + 307499084676 = 190512^2 + 554526^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (343793906821) by changing a digit.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 752284032 + ... + 752284488.

Almost surely, 2^343793906820 is an apocalyptic number.

343793906820 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 343793906820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679812300972).

343793906820 is an abundant number, since it is smaller than the sum of its proper divisors (1015830695124).

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

343793906820 is a wasteful number, since it uses less digits than its factorization.

343793906820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 343793906820 in words is "three hundred forty-three billion, seven hundred ninety-three million, nine hundred six thousand, eight hundred twenty".