34038793593480 has 256 divisors, whose sum is σ = 110550912998400. Its totient is φ = 8334718848000.

The previous prime is 34038793593421. The next prime is 34038793593481. The reversal of 34038793593480 is 8439539783043.

It is not an unprimeable number, because it can be changed into a prime (34038793593481) 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, 308102491 + ... + 308212949.

It is an arithmetic number, because the mean of its divisors is an integer number (431839503900).

Almost surely, 2^{34038793593480} is an apocalyptic number.

34038793593480 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 34038793593480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55275456499200).

34038793593480 is an abundant number, since it is smaller than the sum of its proper divisors (76512119404920).

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

34038793593480 is a wasteful number, since it uses less digits than its factorization.

34038793593480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111524 (or 111520 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 66.

The spelling of 34038793593480 in words is "thirty-four trillion, thirty-eight billion, seven hundred ninety-three million, five hundred ninety-three thousand, four hundred eighty".