34343741000340 has 96 divisors (see below), whose sum is σ = 106851070609920. Its totient is φ = 9157998672000.

The previous prime is 34343741000329. The next prime is 34343741000347. The reversal of 34343741000340 is 4300014734343.

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 = 34343741000295 and 34343741000304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343741000347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13926805 + ... + 16206275.

It is an arithmetic number, because the mean of its divisors is an integer number (1113031985520).

Almost surely, 2^{34343741000340} is an apocalyptic number.

34343741000340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34343741000340 is an abundant number, since it is smaller than the sum of its proper divisors (72507329609580).

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

34343741000340 is a wasteful number, since it uses less digits than its factorization.

34343741000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307390 (or 2307382 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Adding to 34343741000340 its reverse (4300014734343), we get a palindrome (38643755734683).

The spelling of 34343741000340 in words is "thirty-four trillion, three hundred forty-three billion, seven hundred forty-one million, three hundred forty", and thus it is an aban number.