34042310103120 has 320 divisors, whose sum is σ = 115936526444544. Its totient is φ = 8194592655360.

The previous prime is 34042310103107. The next prime is 34042310103121. The reversal of 34042310103120 is 2130101324043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042310103121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480632029 + ... + 480702851.

Almost surely, 2^{34042310103120} is an apocalyptic number.

34042310103120 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 34042310103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57968263222272).

34042310103120 is an abundant number, since it is smaller than the sum of its proper divisors (81894216341424).

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

34042310103120 is a wasteful number, since it uses less digits than its factorization.

34042310103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72130 (or 72124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34042310103120 its reverse (2130101324043), we get a palindrome (36172411427163).

The spelling of 34042310103120 in words is "thirty-four trillion, forty-two billion, three hundred ten million, one hundred three thousand, one hundred twenty".