343392940800 has 1620 divisors, whose sum is σ = 1550487679104. Its totient is φ = 72072806400.

The previous prime is 343392940799. The next prime is 343392940907. The reversal of 343392940800 is 8049293343.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1797868705 + ... + 1797868895.

Almost surely, 2^343392940800 is an apocalyptic number.

343392940800 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 343392940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775243839552).

343392940800 is an abundant number, since it is smaller than the sum of its proper divisors (1207094738304).

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

343392940800 is a wasteful number, since it uses less digits than its factorization.

343392940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 343392940800 in words is "three hundred forty-three billion, three hundred ninety-two million, nine hundred forty thousand, eight hundred".