34005354508048 has 320 divisors, whose sum is σ = 86961125560320. Its totient is φ = 12495177676800.

The previous prime is 34005354508043. The next prime is 34005354508063. The reversal of 34005354508048 is 84080545350043.

It is a junction number, because it is equal to n+sod(n) for n = 34005354507992 and 34005354508010.

It is not an unprimeable number, because it can be changed into a prime (34005354508043) 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, 429804013 + ... + 429883123.

It is an arithmetic number, because the mean of its divisors is an integer number (271753517376).

Almost surely, 2^{34005354508048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34005354508048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43480562780160).

34005354508048 is an abundant number, since it is smaller than the sum of its proper divisors (52955771052272).

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

34005354508048 is a wasteful number, since it uses less digits than its factorization.

34005354508048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79446 (or 79440 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 49.

The spelling of 34005354508048 in words is "thirty-four trillion, five billion, three hundred fifty-four million, five hundred eight thousand, forty-eight".