341057054340 has 288 divisors, whose sum is σ = 1107890784000. Its totient is φ = 84715868160.

The previous prime is 341057054279. The next prime is 341057054341. The reversal of 341057054340 is 43450750143.

341057054340 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 5 + 70 + 543 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 341057054295 and 341057054304.

It is not an unprimeable number, because it can be changed into a prime (341057054341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111857136 + ... + 111860184.

It is an arithmetic number, because the mean of its divisors is an integer number (3846843000).

Almost surely, 2^341057054340 is an apocalyptic number.

341057054340 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 341057054340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553945392000).

341057054340 is an abundant number, since it is smaller than the sum of its proper divisors (766833729660).

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

341057054340 is a wasteful number, since it uses less digits than its factorization.

341057054340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 341057054340 in words is "three hundred forty-one billion, fifty-seven million, fifty-four thousand, three hundred forty".