343088591040 has 336 divisors, whose sum is σ = 1275419055456. Its totient is φ = 84149452800.

The previous prime is 343088591029. The next prime is 343088591047. The reversal of 343088591040 is 40195880343.

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 (343088591047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10504335 + ... + 10536945.

It is an arithmetic number, because the mean of its divisors is an integer number (3795890046).

Almost surely, 2^343088591040 is an apocalyptic number.

343088591040 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 343088591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637709527728).

343088591040 is an abundant number, since it is smaller than the sum of its proper divisors (932330464416).

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

343088591040 is a wasteful number, since it uses less digits than its factorization.

343088591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32928 (or 32915 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 343088591040 in words is "three hundred forty-three billion, eighty-eight million, five hundred ninety-one thousand, forty".