34303230035040 has 192 divisors, whose sum is σ = 109904846526720. Its totient is φ = 8990993479680.

The previous prime is 34303230035029. The next prime is 34303230035047. The reversal of 34303230035040 is 4053003230343.

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 = 34303230034989 and 34303230035007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34303230035047) 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, 176081367 + ... + 176276073.

It is an arithmetic number, because the mean of its divisors is an integer number (572421075660).

Almost surely, 2^{34303230035040} is an apocalyptic number.

34303230035040 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 34303230035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54952423263360).

34303230035040 is an abundant number, since it is smaller than the sum of its proper divisors (75601616491680).

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

34303230035040 is a wasteful number, since it uses less digits than its factorization.

34303230035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201005 (or 200997 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 30.

Adding to 34303230035040 its reverse (4053003230343), we get a palindrome (38356233265383).

The spelling of 34303230035040 in words is "thirty-four trillion, three hundred three billion, two hundred thirty million, thirty-five thousand, forty".