34343041440 has 48 divisors (see below), whose sum is σ = 108180582048. Its totient is φ = 9158144256.

The previous prime is 34343041429. The next prime is 34343041463. The reversal of 34343041440 is 4414034343.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34343041398 and 34343041407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35773522 + ... + 35774481.

It is an arithmetic number, because the mean of its divisors is an integer number (2253762126).

Almost surely, 2^34343041440 is an apocalyptic number.

34343041440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34343041440 is an abundant number, since it is smaller than the sum of its proper divisors (73837540608).

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

34343041440 is a wasteful number, since it uses less digits than its factorization.

34343041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71548021 (or 71548013 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34343041440 its reverse (4414034343), we get a palindrome (38757075783).

The spelling of 34343041440 in words is "thirty-four billion, three hundred forty-three million, forty-one thousand, four hundred forty".