34143414240 has 96 divisors (see below), whose sum is σ = 115824987936. Its totient is φ = 8404531200.

The previous prime is 34143414169. The next prime is 34143414251. The reversal of 34143414240 is 4241434143.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 34143414198 and 34143414207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2729611 + ... + 2742090.

It is an arithmetic number, because the mean of its divisors is an integer number (1206510291).

Almost surely, 2^34143414240 is an apocalyptic number.

34143414240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34143414240 is an abundant number, since it is smaller than the sum of its proper divisors (81681573696).

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

34143414240 is a wasteful number, since it uses less digits than its factorization.

34143414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471732 (or 5471724 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34143414240 its reverse (4241434143), we get a palindrome (38384848383).

The spelling of 34143414240 in words is "thirty-four billion, one hundred forty-three million, four hundred fourteen thousand, two hundred forty".