343249280640 has 1152 divisors, whose sum is σ = 1477005304320. Its totient is φ = 75873853440.

The previous prime is 343249280579. The next prime is 343249280657. The reversal of 343249280640 is 46082942343.

343249280640 is a `hidden beast` number, since 3 + 4 + 324 + 9 + 280 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 236234154 + ... + 236235606.

It is an arithmetic number, because the mean of its divisors is an integer number (1282122660).

Almost surely, 2^343249280640 is an apocalyptic number.

343249280640 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 343249280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738502652160).

343249280640 is an abundant number, since it is smaller than the sum of its proper divisors (1133756023680).

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

343249280640 is a wasteful number, since it uses less digits than its factorization.

343249280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 343249280640 in words is "three hundred forty-three billion, two hundred forty-nine million, two hundred eighty thousand, six hundred forty".