34103000302440 has 256 divisors, whose sum is σ = 114045180422400. Its totient is φ = 8107522523136.

The previous prime is 34103000302417. The next prime is 34103000302447. The reversal of 34103000302440 is 4420300030143.

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 34103000302440.

It is not an unprimeable number, because it can be changed into a prime (34103000302447) 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, 282771432 + ... + 282892008.

It is an arithmetic number, because the mean of its divisors is an integer number (445488986025).

Almost surely, 2^{34103000302440} is an apocalyptic number.

34103000302440 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 34103000302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57022590211200).

34103000302440 is an abundant number, since it is smaller than the sum of its proper divisors (79942180119960).

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

34103000302440 is a wasteful number, since it uses less digits than its factorization.

34103000302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127924 (or 127920 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34103000302440 its reverse (4420300030143), we get a palindrome (38523300332583).

The spelling of 34103000302440 in words is "thirty-four trillion, one hundred three billion, three hundred two thousand, four hundred forty".