34103142240 has 96 divisors (see below), whose sum is σ = 109245749760. Its totient is φ = 8940025344.

The previous prime is 34103142217. The next prime is 34103142251. The reversal of 34103142240 is 4224130143.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34103142240.

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, 573784 + ... + 630423.

It is an arithmetic number, because the mean of its divisors is an integer number (1137976560).

Almost surely, 2^34103142240 is an apocalyptic number.

34103142240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34103142240 is an abundant number, since it is smaller than the sum of its proper divisors (75142607520).

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

34103142240 is a wasteful number, since it uses less digits than its factorization.

34103142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204284 (or 1204276 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34103142240 its reverse (4224130143), we get a palindrome (38327272383).

The spelling of 34103142240 in words is "thirty-four billion, one hundred three million, one hundred forty-two thousand, two hundred forty".