343842408000 has 2800 divisors, whose sum is σ = 1692105118704. Its totient is φ = 68279500800.

The previous prime is 343842407981. The next prime is 343842408001. The reversal of 343842408000 is 804248343.

343842408000 is a `hidden beast` number, since 34 + 384 + 240 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 126969643584 + 216872764416 = 356328^2 + 465696^2 .

It is a tau number, because it is divible by the number of its divisors (2800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343842408001) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 20226023992 + ... + 20226024008.

Almost surely, 2^343842408000 is an apocalyptic number.

343842408000 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 343842408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846052559352).

343842408000 is an abundant number, since it is smaller than the sum of its proper divisors (1348262710704).

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

343842408000 is an equidigital number, since it uses as much as digits as its factorization.

343842408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 343842408000 in words is "three hundred forty-three billion, eight hundred forty-two million, four hundred eight thousand".