343426564800 has 672 divisors, whose sum is σ = 1369063088640. Its totient is φ = 83051827200.

The previous prime is 343426564787. The next prime is 343426564801. The reversal of 343426564800 is 8465624343.

343426564800 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 2 + 6 + 564 + 80 + 0 = 666.

It is a super-3 number, since 3×343426564800³ (a number of 36 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (343426564801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 307453842 + ... + 307454958.

Almost surely, 2^343426564800 is an apocalyptic number.

343426564800 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 343426564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684531544320).

343426564800 is an abundant number, since it is smaller than the sum of its proper divisors (1025636523840).

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

343426564800 is a wasteful number, since it uses less digits than its factorization.

343426564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 343426564800 in words is "three hundred forty-three billion, four hundred twenty-six million, five hundred sixty-four thousand, eight hundred".